A wildlife biologist is 50m away from 10m tall tree where an endangered monkey sits at the top. He aims directly at the monkey and fires a tranquilizer dart from a height of 1m above the ground with a muzzle speed of 100m/s. The startled monkey falls from the tree 0.15s after the gun is fired. Using vector equations for the position of the dart ?⃗ dart and the position of the monkey ?⃗ monkey to describe each trajectory: (a) Show that the dart misses the monkey. (b) Write the formula for the angle between the dart and monkey's trajectories at their point of intersection ?. c. Write an integral equation quantifying the distance the dart travels before it intersects with the monkey's trajectory. Do not solve the integral
A wildlife biologist is 50m away from 10m tall tree where an endangered monkey sits at the top. He aims directly at the monkey and fires a tranquilizer dart from a height of 1m above the ground with a muzzle speed of 100m/s. The startled monkey falls from the tree 0.15s after the gun is fired.
Using vector equations for the position of the dart ?⃗ dart and the position of the monkey ?⃗ monkey to describe each trajectory:
(a) Show that the dart misses the monkey.
(b) Write the formula for the angle between the dart and monkey's trajectories at their point of intersection ?.
c. Write an integral equation quantifying the distance the dart travels before it
intersects with the monkey's trajectory. Do not solve the integral
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