a body moving along a straight line between two places moves with a velocity V1 for the first half of - Physics -

Question

a body moving along a straight line between two places moves
with a velocity V1 for the first half of time and with a velocity
V2 for the second of the time, then, whats its average velocity
?

Jyoti Pant · Accepted Answer

Suppose, the total displacement
=S

And total time of travel =
T

The body travels for time T/2 with velocity
V1

So the displacement is =
V1
Ã—
T/2

Next T/2 time the body travels at
V2
The displacement is =
V2
Ã—
T/2

So, S = V1 Ã— T/2 +
V2
Ã— T/2 =
(T/2)(V1
+ V2)

Average velocity = S/T

= (T/2)(V1 + V2)/T

= (V1 + V2)/2

a body moving along a straight line between two places moves with a velocity V1 for the first half of time and with a velocity V2 for the second of the time, then, whats its average velocity ?