A body is projected vertically upward from ground level with an initial velocity

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

u

. Ignore air resistance. (i) Derive an expression for the time

t_{\text{max}}

taken by the body to reach its maximum height. (ii) Hence obtain an expression for the total time of flight

T

of the body before it returns to the point of projection. (iii) A table-tennis ball is projected upward with

u=12\,\text{m\,s}^{-1}

on (a) the Earth, where

g_{\text E}=9.8\,\text{m\,s}^{-2}

, and (b) the Moon, where

g_{\text M}=1.62\,\text{m\,s}^{-2}

. Using your result from part (ii), compute the ratio

\dfrac{T_{\text M}}{T_{\text E}}

of the times of flight on the Moon and on the Earth.