Question

A grasshopper can jump a maximum distance of $1.6m$. It Spends negligible time on the ground. How far can it go in $10s$?

Answer 1

Horizontal distance travelled by grasshopper will be maximum for $\theta ={45}^o$

$R_{max}=\frac{u^2}{g}=1.6m$ $\to u=4m{s}^{-1}$

horizontal component of velocity of grasshopper

$u\cos \theta =4\cos 45=2\sqrt{2}m{s}^{-1}$

Total distance covered by it in $10$s.

$S=u\cos \theta \times t=2\sqrt{2}\times 10=20\sqrt{2}m$