Arope is tied to a tree 4.5 feet from the ground and then run through a pulley hooked to a vehicle 33 feet from the tree. if a person stands at the tree and pulls ten feet of the rope (after all slack is taken up) how far will the vehicle move?

The vehicle displacement is 9.90 feet.

Explanation:

Given that,

Height of tree = 4.5 feet

Distance = 33 feet

According to figure,

We need to calculate the value of l

Using Pythagorean theorem

We need to calculate the vehicle displacement

Using horizontal component

Vehicle displacement =horizontal component of pulled rope

Where, is angle between rope and ground

d = pulled length of rope

Hence, The vehicle displacement is 9.90 feet.

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