Question

A body thrown vertically up with a velocity 'u' reaches the maximum height 'h' after 'T' second. The correct statement among the following is :

• A. At a height $\frac{h}{2}$ from the ground its velocity is $\frac{u}{2}$
• B. At a time T its velocity is 'u'
• C. At a time '2T' its velocity is -u
• D. At a time 2T its velocity is -6u

Answer 1

The correct option is C At a time '2T' its velocity is -u

Time taken by the body to reach the maximum height is given as $T$ and the velocity of the body at the time of throw is $u$ (upwards). After further time $T$, the body reaches to the ground having same velocity $u$ in the downward direction as that of initial velocity at the time of throw. Thus, at the instant $2T$, the velocity of the body is $-u$ (where minus sign represents the velocity to be in downward direction).