Question

A worker stands on the roof of a 45.0m high building that is under construction. He throws a bag of debris giving it an initial velocity 12m/s of at an angle of 33.0 from downward direction.

a. How long is the bag in flight?
b. How far from the building does the bag land?
c. What is the bag's final speed just before it hits the ground?

Answer 1

Initial launch height,

Launch velocity,

Initial vertical velocity,

Initial horizontal velocity,

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a. How long is the bag in flight?
Consider the vertical motion of the bag

Use formula

Solve the quadratic equation with a calculator

(a) ANSWER:

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b. How far from the building does the bag land?
Consider the horizontal motion of the bag

There is no acceleration in the horizontal direction, so horizontal velocity remains constant.

Horizontal velocity = Horizontal distance/Time of flight

(b) ANSWER:

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c. What is the bag's final speed just before it hits the ground?

Consider the horizontal motion of the bag

There is no acceleration in the horizontal direction, so horizontal velocity remains constant.

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Consider the vertical motion of the bag

Use formula

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Final velocity,

(c) ANSWER:

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