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. $5\sqrt{2}m$
• B. $10\sqrt{2}m$
• C. $20\sqrt{2}m$
• D. $40\sqrt{2}m$

Answer 1

Answer: (C)

$20\sqrt{2}m$

Answer 2

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

${R\frac{u^{2}}{g}}_{\max}$ ⇒ $u = 4m/s.$

Horizontal component of velocity of grasshopper $u\cos\theta = 4\cos 45 = 2\sqrt{2}m/s$

Total distance covered by it in10 sec. $S = u\cos\theta \times t = 2\sqrt{2} \times 10 = 20\sqrt{2}m$