Question

A monkey in a perch 20 m high in a tree drops a coconut above the head of a zoo keeper as he runs with a speed1.5 m/s beneath the tree actually intending to hit the toes of the zoo keeper,how early in seconds should the coconut be dropped by the monkey

Answer 1

Answer on Question 40319, Physics, Acoustics Question: A monkey in a perch 20 m high in a tree drops a coconut above the head of a zoo keeper as he runs with a speed1.5 m/s beneath the tree actually intending to hit the toes of the zoo keeper,how early in seconds should the coconut be dropped by the monkey.

Solution. Equation of vertical motion is

$h=\frac{gt^{2}}{2}$

Time of flight of the coconut is

$t=\sqrt{\frac{2h}{g}}=\frac{2\cdot 20}{9.8}\approx 4.1\,s$

Hence the coconut should be dropped by the monkey 4.1 seconds before.