Question

A grasshopper can jump a maximum horizontal distance of 0.2 m. If it spends negligible time on the ground, with what speed can it travel along the road?

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

Answer 1

Answer: (A)

1 m/s

Range of a projectile is given by $R=\frac{u^{2}Sin2\theta }{g}$

So range will be maximum when $\theta =45$

So putting value of $\theta$ in the expression we get $U=\sqrt{2}$

So it can travel along the ground with speed $UCos\theta =\sqrt{2}\times \frac{1}{\sqrt{2}}=1m/s.$