Looking for classes? Ksquare Career Institute, Bengaluru →
A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is
Explanation
Let the initial velocity of ball be u $\therefore$. Time of rise $t_{1} = u/(g+a)$ and height reached = $u^{2}/(2(g+a))$ Time of fall $t_{2}$ is given by $\frac{1}{2}(g - a)t_{2}^{2} = u^{2}/(2(g + a))$ $t_{2} = u/\sqrt{(g + a)(g - a)} = u/(g + a) \sqrt{(g + a)/(g - a)}$ $\therefore t_{2} > t_{1}$ because $1/(g+a) < 1/(g-a)$
