Question

A body starts from rest and moves with acceleration a0 After t0 it moves with constant velocity for further time t0 and then retards with 2a0 What is the av vel

Answer 1

Answer:

$\frac{9}{10} a0t0$

Explanation:

initial velocity (u)=0

after t0, velocity=a0×t0(case i)

this body travelled next t0 seconds with velocity a0×t0 (case ii)and then retards with 2a0

final velocity=0(case iii)

Case(i)

Displacement=a0(t0)^2/2

time=t0

Case (ii)

Displacement=a0(t0)^2

time=t0

Case (iii)

time=t0/2 [v=u+at]

Displacement=3a0(t0)^2/4

average velocity=total displacement/time

=9a0(t0)^2/4÷5t0/2

=9a0t0/10

NOTE

Average velocity is equal to total displacement by total time