SS2 First Term Physics Lesson Note – Equation of Uniformly Accelerated Motion

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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.

1. Gradient of a v-t graph = acceleration
2. Area under a v-t graph = distance.
3. Total distance covered during the motion = area of trapezium 0edc
4. Distance covered during acceleration = area of triangle 0ea
5. Distance covered during constant velocity = area of rectangle aedb
6. Distance covered during deceleration = area of triangle bdc
7. Acceleration = slope of line 0e ,
8. Deceleration = slope of dc,

Example 1

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

1. Sketch the velocity time graph of the motion of the car
2. Calculate the acceleration of the car
3. Calculate the deceleration of the car
4. What is the total distance travelled by the car
5. Estimate the average speed of the car.

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