The minimum work done required to accelerate a truck on a horizontal road from rest to speed `v`

Options

A. is less than that required to accelerate if from `v` to `2v`.
B. is equal than that required to accelerate it from `v` to `2v`.
C. is more than that required to accelerate it from `v` to `2v`.
D. may be any one of the above since it depends on the force acting on the truck and the distance over which it acts.

Answer

A

Explanation

(Easy) Minimum work done to accelerate the truck from speed 0 to v and from v to 2v are
`Delta W_(1) =(1)/(2)mv_(2)-(1)/(2)m(0)_(2)=(1)/(2)mv_(2)`
and `Delta W_(2) = (1)/(2) m(2v)_(2)-(1)/(2) m(v)_(2) = (3)/(2) mv_(2)`
`:. Delta W_(1) lt Delta W_(2)`