Question

A body starts from rest and acquires a velocity V in time T. The work done on the body in time t is proportional to

• A. $\frac{V}{T}t$
  
• B. $\frac{V^2{t}^2}{T}$
  
• C. $\frac{V^{2}t}{T^2}$
  
• D. $\frac{V^2{t}^2}{T^2}$

Answer 1

The correct option is D $\frac{V^2{t}^2}{T^2}$

$W=Fx=ma\frac{1}{2}a{t}^2=\frac{m{a}^2{t}^2}{2}V=aTW=\frac{M{V}^2{t}^2}{2T^2}$