Problem #3 Consider the vertical motion of a helicopter with a uniform upward ac

Question

Problem #3 Consider the vertical motion of a helicopter with a uniform upward acceleration. A passenger in the helicopter drops a coin as the vehicle rises.

(a) Make a sketch of the position vs. time graph for the passenger, clearly label the axes identifying the positive directions of position and time.

(b) On the same plot sketch the motion of the coin, include both the motion the coin has while still in the passenger’s hand and its’ motion after it is released. Ignore the effects of drag.

Problem #4 A stunt woman sitting on a tree limb wishes to drop vertically onto a

slow moving car passing under the tree. The car is rolling at a constant speed of 10m/s

and the vertical distance between the limb and the roof of the car is 3.00 m.

(a) What must be the horizontal distance between the car roof and the tree limb when

the stunt woman drops?

(b) For how long is she falling?

Explanation / Answer

Problem #4

(b) vertical height = h= 3 m

initial velocity along vertical= Vo=0

using kinematic equation h= Vot + 1/2 gt^2

3= 0 + 1/2 (9.8) t^2

t= 0.782 seconds

(a) velocity of car =Vc= 10 m/s

horizontal distance between tree limb and car= Vc t = 10 (0.782) =7.82 m

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