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 speed 1.5 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?

Question

anonymous · Answer

I have calculated the distance the zoo keeper runs from the point the coconut hits the ground. Found it to be 3.03m

petiteme · Answer

Do you know what you are looking for?

anonymous · Answer

Yes, but a bit confused.

anonymous · Answer

the zoo keeper runs 1.5m per second. So, at this instant the coconut should hit him, but how do I work out the time the monkey drops the coconut?

anonymous · Answer

well u kno for sure, if the monkey drops the coconut exactly when the man is RIGHT UNDER the monkey, the stone will fall behind.. yea? 


so .. now u need to calculate how early? correct?.. so say that he drops the stone, when the man is about x meters from the tree.. and it takes t seconds 

evaluate x and t!

anonymous · Answer

It depends if the zoo keeper has a gun or not.

anonymous · Answer

The coconut takes 2.02 s to fall from the tree. Assuming the monkey is not moving, he would then 2.02 seconds before the zoo keeper was directly under him. I cannot see how the zoo-keeper's speed comes into it.

anonymous · Answer

Question was kind of confusing at first, but I was able to piece it all together. The monkey has to drop the coconut 2.02 seconds earlier.$$h = \frac{ 1 }{ 2 }g t^{2}$$
$$d=velocity \times time (t)$$

anonymous · Answer

Thank you @petiteme , @Mashy and @alanevans99 for your time.

petiteme · Answer

yw ^_^ hehe lol