Problema Solution
A monkey is in a tree 15 m above the ground. A hunter comes along with a
blowgun, and stops 20. m away from the tree. He aims at the monkey and fires the
dart with a velocity of 15 m/s. The monkey sees the hunter approach and drops ou
of the tree at the instant the dart is fired. A bad move on his part, as the dart gets
him as he falls!
a) How long does it take for the dart to reach him?
b) Find the vertical position of where the monkey meets his end.
c) What does monkey taste like?
Answer provided by our tutors
(a) The time t = 20 m/ 12m/s = 5/3 s = 1.67 s, so it takes 1.67 s for the dart to reach him.
(b)
The vertical speed of dart = 15*3/5 = 9 m/s
The horizontal speed of dart = 15*4/5 = 12 m/s
Time t = 20 m/ 12m/s = 5/3 s
The height of dart when t = 5/3 s is H = 9t - 4.9t^2 = 1.39 m
So the vertical position of where the monkey meets his end is 1.39 m above the ground.