question_answer

A body is projected vertically with a speed is v and the time taken by it is T to reach maximum height H, Pick out the correct statement. (a) It reaches H/2 in T/2 sec (b) It acquires velocity U/2 in T/2 sec. (c) Its velocity is U/2 at H/2 (d) Same velocity at 2T

Answer:

Time of ascent, \[T=\frac{U}{g}\Rightarrow g=\frac{U}{T}\] Velocity of the body after T/2 seconds \[=U-g\frac{T}{2}=U-\frac{U}{T}\times \frac{T}{2}=\frac{U}{2}\]