Question

Figure shows the graph of acceleration of particle as a function of time. The maximum speed of the particle is (particle starts from rest).

A. `7 m//s`
B. `8 m//s`
C. `4 m//s`
D. `16 m//s`

Answer 1

Correct Answer - B
Maximum speed will occur at `t = 4 s`, because till then a is positive. Now change in velocity is area under accleration time graph, so
`v_(4s) - 0 = (1)/(2)[4 xx 4] = 8 rArr v_(4 s) = 8 m//s`.