Question

A body is moving with velocity V¹ms¹ for half the times & with velocity V²ms¹for remaining half time . Then average half time .Then average velocity of the body will be

Answer 1

Explanation:

Let total time =t

Let d1 is the displacement of first half time and d2 is of second half time.

Total displacement(d)= d1+d2

Now v1=d1÷(t/2) => d1= v1.t/2 …..(1)

Similarly, d2= v2.t/2 …..(2)

now avg. velocity(v`) = (d1+d2)/t

put (1) and (2)

v`= (v1.t+v2.t)/2.t

v`= (v1+v2)/2