SUVAT - Revision history

NRJC at 15:11, 5 April 2019

2019-04-05T15:11:05Z

NRJC: /* Using v, u a and s */

2019-02-14T10:17:32Z

‎Using v, u a and s

NRJC: /* Using v, u a and s */

2019-02-14T09:58:24Z

‎Using v, u a and s

NRJC at 09:57, 14 February 2019

2019-02-14T09:57:43Z

NRJC: /* Using v, u a and s */

2019-02-14T09:50:52Z

‎Using v, u a and s

NRJC at 09:14, 14 February 2019

2019-02-14T09:14:47Z

NRJC: /* Using a, v, u and t */

2019-02-14T09:07:15Z

‎Using a, v, u and t

NRJC: /* Using v, s and t */

2019-02-13T15:53:11Z

‎Using v, s and t

NRJC: /* Example Calculations */

2019-02-13T15:44:05Z

‎Example Calculations

NRJC at 15:39, 13 February 2019

2019-02-13T15:39:36Z

@@ Line 232: / Line 232: @@
 {| class="wikitable"
 | style="height:20px; width:300px; text-align:center;" |A car travelling at 30m/s has a stopping distance of 55m. Calculate the [[deceleration]] of the car correct to two [[Significant Figures|significant figures]].
-| style="height:20px; width:300px; text-align:center;" |A formula 1 car is travelling at 50m/s on a straight but must slow to 22m/s for an approaching corner. The breaks can [[decelerate]] the car at 30m/s/s. Calculate how far before the [[corner]] the car must begin braking, correct to two [[Significant Figures|significant figures]].
+| style="height:20px; width:300px; text-align:center;" |A formula 1 car is travelling at 50m/s on a straight but must slow to 22m/s for an approaching corner. The breaks can [[decelerate]] the car at 30m/s/s. Calculate how far before the corner the car must begin braking, correct to two [[Significant Figures|significant figures]].
 |-
 | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''

← Older revision		Revision as of 10:17, 14 February 2019
Line 228:		Line 228:

	<math>u \approx 11m/s</math>		<math>u \approx 11m/s</math>
		+	\|}
		+
		+	{\| class="wikitable"
		+	\| style="height:20px; width:300px; text-align:center;" \|A car travelling at 30m/s has a stopping distance of 55m. Calculate the [[deceleration]] of the car correct to two [[Significant Figures\|significant figures]].
		+	\| style="height:20px; width:300px; text-align:center;" \|A formula 1 car is travelling at 50m/s on a straight but must slow to 22m/s for an approaching corner. The breaks can [[decelerate]] the car at 30m/s/s. Calculate how far before the [[corner]] the car must begin braking, correct to two [[Significant Figures\|significant figures]].
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	v = 0m/s
		+
		+	u = 30m/s
		+
		+	s = 55m
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	v = 22m/s
		+
		+	u = 50m/s
		+
		+	a = -30m/s/s
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+
		+	<math>v^2=u^2 + 2as</math>
		+
		+	<math>0^2=30^2 + 2 \times a \times 55</math>
		+
		+	<math>0=900+110a</math>
		+
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+
		+	<math>v^2=u^2 + 2as</math>
		+
		+	<math>22^2=50^2 + 2 \times (-30) \times s</math>
		+
		+	<math>484=2500 - 60s</math>
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+
		+	<math>110a = -900</math>
		+
		+	<math>a =\frac{-900}{110}</math>
		+
		+	<math>a =\frac{-900}{110}</math>
		+
		+	<math>a=-8.1818m/s/s</math>
		+
		+	<math>a \approx -8.2m/s/s </math>
		+
		+	Deceleration = + 8.2m/s/s
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+
		+	<math>484=2500 - 60s</math>
		+
		+	<math>60s = 2500-484</math>
		+
		+	<math>s =\frac{2016}{60}</math>
		+
		+	<math>s=33.6m</math>
		+
		+	<math>s \approx 34m</math>
	\|}		\|}

@@ Line 227: / Line 227: @@
 <math>u=11.18m/s</math>
-<math>u = \approx 11m/s</math>
+<math>u \approx 11m/s</math>
 |}

@@ Line 190: / Line 190: @@
 v = 10m/s
-a = 0.5m/s/s
+a = -0.5m/s/s
 s = 25m
@@ Line 196: / Line 196: @@
 | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 |-
 | style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 | style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 |}

@@ Line 176: / Line 176: @@
 {| class="wikitable"
-| style="height:20px; width:300px; text-align:center;" |Question
+| style="height:20px; width:300px; text-align:center;" |A fighter jet [[accelerate]]s at 60m/s/s from rest along a runway which is 150m in length. Calculate the [[velocity]] reached by the fighter jet, correct to two [[Significant Figures|significant figures]].
-| style="height:20px; width:300px; text-align:center;" |Question
+| style="height:20px; width:300px; text-align:center;" |A train applies the breaks over 25m of track slowing at a rate of 0.5m/s/s to a [[velocity]] of 10m/s. Calculate the initial [[velocity]] of the train prior to breaking, correct to two [[Significant Figures|significant figures]].
 |-
 | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 |-
 | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 |-

← Older revision		Revision as of 09:07, 14 February 2019
Line 79:		Line 79:

	====Using a, v, u and t====		====Using a, v, u and t====
		+	{\| class="wikitable"
		+	\| style="height:20px; width:300px; text-align:center;" \|A cyclist travels at an initial velocity of 5m/s. They then take 20 seconds to increase velocity to 15m/s. Calculate the acceleration of the cyclist correct to two [[Significant Figures\|significant figures]].
		+	\| style="height:20px; width:300px; text-align:center;" \|A driverless car travelling at 35m/s notices a pedestrian walk into the road and begins automatic breaking. It comes to a complete stop. The acceleration is -14m/s. Calculate the time taken to come to a stop correct to two [[Significant Figures\|significant figures]].
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	u = 5m/s
		+
		+	v = 15m/s
		+
		+	t = 20s
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	a = -14m/s/s
		+
		+	u = 35m/s
		+
		+	v = 0m/s
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+	\|}
		+
		+	{\| class="wikitable"
		+	\| style="height:20px; width:300px; text-align:center;" \|A person runs onto a thick sheet of ice. They begin to slide along. They decelerate at a rate of 0.2m/s/s for 30 seconds until they come to rest. Calculate the initial velocity of person correct to two [[Significant Figures\|significant figures]].
		+	\| style="height:20px; width:300px; text-align:center;" \|A safety car is out on the track with F1 cars limited to 15m/s until it pulls over. A car then accelerates at 9m/s/s for 8 seconds. Calculate the final velocity of the car correct to two [[Significant Figures\|significant figures]].
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	a = -0.2m/s/s
		+
		+	v = 0m/s
		+
		+	t = 30s
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	a = 9m/s/s
		+
		+	u = 15m/s
		+
		+	t = 8s
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+	\|}
		+
		+	{\| class="wikitable"
		+	\| style="height:20px; width:300px; text-align:center;" \|Question
		+	\| style="height:20px; width:300px; text-align:center;" \|Question
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''1. State the known quantities'''
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers and [[Evaluate (Maths)\|evaluate]].'''
		+	\|-
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+	\| style="height:20px; width:300px; text-align:left;" \|'''3. [[Rearrange (Maths)\|Rearrange]] the equation and [[Solve (Maths)\|solve]].'''
		+	\|}
		+
	====Using v, u a and s====		====Using v, u a and s====

@@ Line 22: / Line 22: @@
 {| class="wikitable"
 | style="height:20px; width:200px; text-align:center;" |A [[wave]] travels 1000m in a time of 12.5s. Calculate the [[magnitude]] of the [[velocity]] of the [[wave]] correct to two [[Significant Figures|significant figures]].
-| style="height:20px; width:200px; text-align:center;" |[[The Moon]] is approximately 390,000km away from the Earth. It takes a [[Radio Wave]] 1.3 seconds to travel that [[distance]]. Calculate the [[magnitude]] of the [[velocity]] of the [[Radio Wave]] correct to two [[Significant Figures|significant figures]].
+| style="height:20px; width:200px; text-align:center;" |[[The Moon]] is approximately 390,000km away from the Earth. A [[Radio Wave]] travels at 300,000,000m/s from [[The Moon]] to the [[Earth]]. Calculate the time taken by the [[Radio Wave]] to reach [[Earth]] correct to two [[Significant Figures|significant figures]].
-| style="height:20px; width:200px; text-align:center;" |An [[Alpha Particle|alpha particle]] can travels around 6cm from a source taking 4.0ns before colliding with an [[air]] [[molecule]]. Calculate the [[magnitude]] of its [[velocity]] on this journey correct to two [[Significant Figures|significant figures]].
+| style="height:20px; width:200px; text-align:center;" |An [[Alpha Particle|alpha particle]] travels for 4.0ns at a [[velocity]] of 15,000,000m/s before colliding with an [[air]] [[molecule]]. Calculate the [[displacement]] of the [[Alpha Particle|alpha particle]] from the start to the end of its journey correct to two [[Significant Figures|significant figures]].
 |-
 | style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
@@ Line 34: / Line 34: @@
 s = 390,000km = 390,000,000m
-t = 1.3s
+v = 300,000,000m/s
 | style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
-s = 6cm = 0.06m
+v = 15,000,000m/s
 t = 4.0ns = 4.0 x 10<sup>-9</sup>m
 |-
-| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
+| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 <math>v = \frac{s}{t}</math>
@@ Line 49: / Line 48: @@
 <math>v = 80m/s</math>
-| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
+| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 <math>v = \frac{s}{t}</math>
-<math>v = \frac{390000000}{1.3}</math>
+<math>15000000 = \frac{s}{4.0 \times 10^{-9}}</math>
-<math>v = 300,000,000m/s</math>
+<math>t = \frac{390000000}{300000000}</math>
-| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
+<math>t = 1.3s</math>
-<math>v = \frac{s}{t}</math>
+<math>15000000 = \frac{s}{4.0 \times 10^{-9}}</math>
-<math>v = \frac{0.06}{4.0 \times 10^{-9}}</math>
+<math>s = 15000000 \times 4.0 \times 10^{-9}</math>
-<math>v = 15,000,000m/s</math>
+<math>s = 0.060m</math>
 |}
 ====Using a, v, u and t====
 ====Using v, u a and s====

@@ Line 19: / Line 19: @@
 ===Example Calculations===
-====Finding Velocity using Displacement and Time====
+====Using v, s and t====
 {| class="wikitable"
 | style="height:20px; width:200px; text-align:center;" |A [[wave]] travels 1000m in a time of 12.5s. Calculate the [[magnitude]] of the [[velocity]] of the [[wave]] correct to two [[Significant Figures|significant figures]].
@@ Line 65: / Line 65: @@
 <math>v = 15,000,000m/s</math>
 |}

← Older revision		Revision as of 15:39, 13 February 2019
Line 17:		Line 17:

	<math>v^2=u^2 + 2as</math>		<math>v^2=u^2 + 2as</math>
		+
		+	===Example Calculations===
		+	====Finding Velocity using Displacement and Time====
		+	{\| class="wikitable"
		+	\| style="height:20px; width:200px; text-align:center;" \|A [[wave]] travels 1000m in a time of 12.5s. Calculate the [[magnitude]] of the [[velocity]] of the [[wave]] correct to two [[Significant Figures\|significant figures]].
		+	\| style="height:20px; width:200px; text-align:center;" \|[[The Moon]] is approximately 390,000km away from the Earth. It takes a [[Radio Wave]] 1.3 seconds to travel that [[distance]]. Calculate the [[magnitude]] of the [[velocity]] of the [[Radio Wave]] correct to two [[Significant Figures\|significant figures]].
		+	\| style="height:20px; width:200px; text-align:center;" \|An [[Alpha Particle\|alpha particle]] can travels around 6cm from a source taking 4.0ns before colliding with an [[air]] [[molecule]]. Calculate the [[magnitude]] of its [[velocity]] on this journey correct to two [[Significant Figures\|significant figures]].
		+	\|-
		+	\| style="height:20px; width:200px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	s = 1000m
		+
		+	t = 12.5s
		+	\| style="height:20px; width:200px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	s = 390,000km = 390,000,000m
		+
		+	t = 1.3s
		+	\| style="height:20px; width:200px; text-align:left;" \|'''1. State the known quantities'''
		+
		+	s = 6cm = 0.06m
		+
		+	t = 4.0ns = 4.0 x 10<sup>-9</sup>m
		+	\|-
		+	\| style="height:20px; width:200px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)\|solve]].'''
		+
		+	<math>v = \frac{s}{t}</math>
		+
		+	<math>v = \frac{1000}{12.5}</math>
		+
		+	<math>v = 80m/s</math>
		+
		+	\| style="height:20px; width:200px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)\|solve]].'''
		+
		+	<math>v = \frac{s}{t}</math>
		+
		+	<math>v = \frac{390000000}{1.3}</math>
		+
		+	<math>v = 300,000,000m/s</math>
		+
		+	\| style="height:20px; width:200px; text-align:left;" \|'''2. [[Substitute (Maths)\|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)\|solve]].'''
		+
		+	<math>v = \frac{s}{t}</math>
		+
		+	<math>v = \frac{0.06}{4.0 \times 10^{-9}}</math>
		+
		+	<math>v = 15,000,000m/s</math>
		+	\|}