# Distance between frog and an insect on a horizontal plane is 10m. Frog can jump with maximum speed of $\sqrt {10}m/s$ minimum number of jumps required by the frog to catch the insect is

$(a)\;5 \quad (b)\;10 \quad (c)\;100 \quad(d)\;50$

For, minimum number of jumps, range has to be maximum.
Maximum range $\large\frac{u^2}{g}= \frac{(\sqrt {10})^2}{10}$$=1m$
Total distance =$10 m$
number of jumps =10
Hence b is the correct answer.
edited Apr 2, 2014