Question

Study the speed-time graph of a car and answer the questions that follow.

1. What type of motion is represented by OA?
2. What type of motion is represented by AB?
3. What type of motion is represented by BC?
4. What is the acceleration of the car from O to A?
5. What is the acceleration of the car from A to B?
6. What is the acceleration of the car from B to C?

Answer 1

1. Velocity-time graph is a straight line inclined to the time axis from O to A. Thus, it represents the uniformly accelerated motion.
2. Velocity-time graph is a straight line parallel to the time axis from A to B. Thus, it represents the uniform motion.
3. Velocity-time graph is a straight line having a negative slope from B to C. Thus, it represents the uniformly retarded motion.
4. Acceleration of the car from O to A is equal to the slope of the line OA. This, $Slope=\frac{40}{10}=4,a=4m/s^2$
5. Acceleration of the car from A to B is equal to the slope of the line AB. The slope of this line is zero, hence the acceleration is zero.
6. Acceleration of the car from B to C is equal to the slope of the line BC. This, $Slope=\frac{-40}{20}=-2,a=-2m/s^2$