Question

A person travelling on a straight line moves with a uniform velocity v1 for some time and with uniform velocity v2 for the next equal time. The average velocity v is given by

(a) v = (v1 + v2)/2

(b) v = √(v1v2)

(c) 2/v = 1/v1 + 1/v2

(d) 1/v = + 1/v2.

Answer 1

(a) v = (v1 + v2)/2.

Explanation:

Let t be the time related to each velocity. Total distance travelled =v1t+v2t. Total time taken=2t. Hence average velocity = v1t+v2t/2t =(v1+v2)/2.