Question

The acceleration of a particle starting from rest and travelling along a straight line is shown in figure. The maximum speed of the particle is

A. `20ms^(-1)`
B. `30ms^(-1)`
C. `40ms^(-1)`
D. `60ms^(-1)`

Answer 1

Correct Answer - B
b. Maximum speed is at t = 8 s
v at t = 8 s is given by area under curve OABC.

Maximum speed
`= 1/2 (AB+OC)xxBC = 1/2 xx (12) xx 5 = 30 ms^(-1)`.