On a stationary block of mass `2kg` a horizontal forces F starts acting at `t = 0` whose veriation with time is shown in figure .The coefficient of friction between the block and ground is `0.5` New answer the following question

Find the velocity of the block when for the firsst time its acceleration become zero

Options

A. `12.5 ms^(-1)`
B. `25 ms^(-1)`
C. `10 ms^(-1)`
D. None of these

Answer

a

Explanation

From Eq (ii) first time acceleration becomes zero at `t = 5s` velocity at this time
`v = 5t - (t^(2))/(2) = 5 xx 5 - (5^(2))/(2) = 12.5 ms^(-1)`