Question

A particle starting from rest undergoes a rectilinear motion with acceleration $a$. The variation of a with time is shown below. The maximum velocity attained by the particle during its motion is

• A. $120m/s$
• B. $60m/s$
• C. $22m/s$
• D. $80m/s$

Answer 1

The correct option is B $60m/s$

area under $a$vs$t$ graph gives the change in velocity.

So from give figure (graph) the change in velocity $△v=$ area $=\frac{1}{2}\times base\times height$

$△v=\frac{1}{2}\times \left(12sec\right)10m/s^2$

$△v=60m/s$

as it stated from rest so after $12$ sec the $velocitywillbemax=0+△v=60m/s$

after $t=12$ sec the acceleration will become zero

So No more change in velocity.