Difference between revisions of "Acceleration"
Line 19: | Line 19: | ||
===Example Calculations=== | ===Example Calculations=== | ||
+ | {| class="wikitable" | ||
+ | |- | ||
+ | | style="height:20px; width:300px; text-align:center;" |'''A person starts at rest and accelerates to a [[speed]] of 8m/s in 0.8 seconds. Calculate the acceleration of the person.''' | ||
+ | | style="height:20px; width:300px; text-align:center;" |'''A racing car travels comes around a corner at a speed of 20m/s and in 1.5 [[second]]s accelerates to a [[speed]] of 80m/s. Calculate the acceleration of the racing car.''' | ||
+ | |- | ||
+ | | style="height:20px; width:300px; text-align:left;" | | ||
+ | final speed = 8[[m/s]] | ||
+ | |||
+ | initial speed = 0[[m/s]] | ||
+ | |||
+ | time = 0.8[[s]] | ||
+ | |||
+ | <math>a = {\tfrac{v-u}{t}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{8-0}{0.8}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{8}{0.8}} </math> | ||
+ | |||
+ | <math>a = 10m/s/s </math> | ||
+ | |||
+ | | style="height:20px; width:300px; text-align:left;" | | ||
+ | final speed = 80[[m/s]] | ||
+ | |||
+ | initial speed = 20[[m/s]] | ||
+ | |||
+ | time = 1.5[[s]] | ||
+ | |||
+ | <math>a = {\tfrac{v-u}{t}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{80-20}{1.5}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{60}{1.5}} </math> | ||
+ | |||
+ | <math>a = 40m/s/s </math> | ||
+ | |- | ||
+ | | style="height:20px; width:300px; text-align:center;" |'''A [[horse]] begins trotting at 3.0m/s and accelerates to canter at 11m/s in 2.0 seconds. Calculate the acceleration of the [[horse]]. | ||
+ | | style="height:20px; width:300px; text-align:center;" |'''A space probe is travelling at 18,000m/s and uses a thruster for 250 seconds to slow down to 6,000m/s. Calculate the acceleration of the space probe.''' | ||
+ | |- | ||
+ | | style="height:20px; width:300px; text-align:left;" | | ||
+ | final speed = 11[[m/s]] | ||
+ | |||
+ | initial speed = 3.0[[m/s]] | ||
+ | |||
+ | time = 2.0[[s]] | ||
+ | |||
+ | <math>a = {\tfrac{v-u}{t}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{11-3.0}{2.0}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{8.0}{2.0}} </math> | ||
+ | |||
+ | <math>a = 4m/s/s </math> | ||
+ | | style="height:20px; width:300px; text-align:left;" | | ||
+ | final speed = 18,000[[m/s]] | ||
+ | |||
+ | initial speed = 6,000[[m/s]] | ||
+ | |||
+ | time = 250[[s]] | ||
+ | |||
+ | <math>a = {\tfrac{v-u}{t}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{18,000-6,000}{250}} </math> | ||
+ | |||
+ | <math>a = {\tfrac{12,000}{250}} </math> | ||
+ | |||
+ | <math>a = 48m/s/s </math> | ||
+ | |} |
Revision as of 16:44, 13 October 2018
Contents
Key Stage 3
Meaning
Acceleration is an increase in speed.
About Acceleration
- The opposite of acceleration is deceleration which is to slow down.
- Acceleration happens when an object experiences Unbalanced Forces.
Acceleration Equation
\[a = {\tfrac{v-u}{t}} \] Where:
- a = acceleration
- v = final speed
- u = initial speed
- t = time
Example Calculations
A person starts at rest and accelerates to a speed of 8m/s in 0.8 seconds. Calculate the acceleration of the person. | A racing car travels comes around a corner at a speed of 20m/s and in 1.5 seconds accelerates to a speed of 80m/s. Calculate the acceleration of the racing car. |
final speed = 8m/s initial speed = 0m/s time = 0.8s \(a = {\tfrac{v-u}{t}} \) \(a = {\tfrac{8-0}{0.8}} \) \(a = {\tfrac{8}{0.8}} \) \(a = 10m/s/s \) |
final speed = 80m/s initial speed = 20m/s time = 1.5s \(a = {\tfrac{v-u}{t}} \) \(a = {\tfrac{80-20}{1.5}} \) \(a = {\tfrac{60}{1.5}} \) \(a = 40m/s/s \) |
A horse begins trotting at 3.0m/s and accelerates to canter at 11m/s in 2.0 seconds. Calculate the acceleration of the horse. | A space probe is travelling at 18,000m/s and uses a thruster for 250 seconds to slow down to 6,000m/s. Calculate the acceleration of the space probe. |
final speed = 11m/s initial speed = 3.0m/s time = 2.0s \(a = {\tfrac{v-u}{t}} \) \(a = {\tfrac{11-3.0}{2.0}} \) \(a = {\tfrac{8.0}{2.0}} \) \(a = 4m/s/s \) |
final speed = 18,000m/s initial speed = 6,000m/s time = 250s \(a = {\tfrac{v-u}{t}} \) \(a = {\tfrac{18,000-6,000}{250}} \) \(a = {\tfrac{12,000}{250}} \) \(a = 48m/s/s \) |