1. Let and be the time taken for travelling distances and with velocities and respectively. Hence we have,

Hence average velocity is,

2. The distance travelled after one full revolution is equal to the perimeter of the circular path of diameter d = 14 cm.

Hence distance travelled is,

Taking

Since the particle reaches initial position after one full revolution, its displacement is 0 m.

3. We know that velocity is first derivative of displacement with respect to time.

Since initial velocity is the velocity of particle at t = 0,

4. At t = 0,

The velocity of the particle is,

At t = 0,

The acceleration of the particle is,

At t = 0,

5. Let x (in km) be the distance between A and B.

Time taken to travel from A to B,

Time taken to return back,

Hence average speed is,

Since the car reaches back to its initial position, it has zero displacement. Hence the average velocity is 0 km/h.

Verified answer

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