Question

A grasshopper can jump maximum distance 0.8 $m$, while spending negligible time on the ground. How far can it go in $3s$ (in $m$) $(g=10m/sec)$?

Answer 1

Maximum range $(\theta ={45}^o)=\frac{u^2}{g}=0.8u=2\sqrt{2}m$
Distance covered in $3s=\left(u\cos {45}^o\right)\left(3\right)$
$=\left(2\sqrt{2}\right)\left(\frac{1}{\sqrt{2}}\right)\left(3\right)=6m$