Question

The acceleration due to gravity on a planet is $1.96$ $m/s^2$. If it is safe to jump from a height of $3m$ on the earth, the corresponding height on the planet will be:

• A. 3 m
• B. 6 m
• C. 9 m
• D. 15 m

Answer 1

The correct option is D 15 m

Let us consider the problem,

Let the initial velocity $u=0$

the final velocity will $v$

Acceleration due to gravity $g=9.8m/s^2$

The vertical distance $=3m$

$v^2-u^2=2gs$

$v^2-0=2\times 9.8\times 3$

$=7.7m/s$

On the planet so,

$v^2-0=2\times 1.96\times h$

Let the $v=7.7m/s$

then ,

$\frac{58.8}{2\times 1.96}$

$=\frac{58.8}{3.92}$

$=15m$

Hence, the corresponding height on the planet will be $=15m$.