Question

A grasshopper can jump maximum distance 1.6 m. It spends negligible time on the ground. How far can it go in 10 seconds.

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Horizontal distance travelled by grasshopper will be maximum for $\theta ={45}^{\circ }$
$R_{max}=\frac{u^2}{g}=1.6m\Rightarrow u=4m/s$
Horizontal component of velocity of grasshopper $ucos\theta =4cos45=2\sqrt{2}m/s$
Total distance covered by it in10 sec. $S=ucos\theta \times t=2\sqrt{2}\times 10=20\sqrt{2}m$