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WEEK 4
TOPIC: EQUATION OF UNIFORMLY ACCELERATED MOTION
CONTENT
- Revision on velocity-time graphs.
- Derivations of equation of uniformly accelerated motion
- Application of equation of uniform motion
- Equation of motion under gravity
PERIOD ONE:
Velocity – time v-t graph.
- Gradient of a v-t graph = acceleration
- Area under a v-t graph = distance.
- Total distance covered during the motion = area of trapezium 0edc
- Distance covered during acceleration = area of triangle 0ea
- Distance covered during constant velocity = area of rectangle aedb
- Distance covered during deceleration = area of triangle bdc
- Acceleration = slope of line 0e ,
- Deceleration = slope of dc,
Example 1
- A car starts from rest and accelerates uniformly to 15ms-1 in 5 s. it then continues at this velocity for the next 10s before decelerating back to rest in another 8 s.
Use the information to answer the following questions
- Sketch the velocity time graph of the motion of the car
- Calculate the acceleration of the car
- Calculate the deceleration of the car
- What is the total distance travelled by the car
- Estimate the average speed of the car.
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