1. When the velocity is constant, can the average velocity over any time interval differ from the instantaneous velocity at any instant? If so, give an example; if not, explain why.

2. When racing car, in a qualifying two-lap het, covers the first lap with an average speed of 90 mi/h. the driver wants to speed up during the second lap so that the average speed of the two laps together will be 180 mi/h. Show that it cannot be done.

3. (a) Can an object have zero velocity and still be accelerating?

(b) Can an object have a constant velocity and still have a varying speed? In each case give an example if yours answer is yes; explain why if your answer is no.

4. Can an object be increasing in speed as the magnitude of its acceleration decreases? If so, given an example; if not, explain why.

5. The velocity of a particle is towards west at an instant. Its acceleration is not towards west, not towards east, not towards north and not towards south. Give an example of this type of motion.

6. If a particle is accelerating, it is either speeding up or speeding down. Do you agree with this statement?

7. Give example where (a) the velocity of a particle is zero but its acceleration is not zero. (b) the velocity is opposite in direction to the acceleration, (c) the velocity is perpendicular to the acceleration.

8. Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h^-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and ever 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road?