Question

A grasshopper can jump a maximum horizontal distance of $\frac{1}{5}$ m. If it spends negligible time on ground, with what speed can he travel along the road ?

• A. 1 m/s
• B. 2 m/s
• C. 3 m/s
• D. 4 m/s

Answer 1

The correct option is A 1 m/s

$R_{max}=\frac{u^2}{g}$
$\Rightarrow 0.2=\frac{u^2}{9.8}$
$\Rightarrow u=1.4m/sec$
Horizontal component of velocity of the grasshopper along the road
$ucos=1.4\cos {45}^o$
$=1.4\times \frac{1}{\sqrt{2}}=1m/sec$