How far horizontally, in meters, does the hammer travel from the edge of the roof until it hits the ground?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
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A large building has an inclined roof. The length of
the roof is 36.5 m and the angle of the roof is 19.0°
below horizontal. A worker on the roof lets go of a
hammer from the peak of the roof. Starting from
rest, it slides down the entire length of the roof
with a constant acceleration of 3.19 m/s2. After
leaving the edge of the roof, it falls a vertical
distance of 38.0 m before hitting the ground.
How much time, in seconds, does it take the hammer to
fall from the edge of the roof to the ground?
(a)
Enter a number.
Given the acceleration of the hammer as it slides on the
roof, what are the velocity components just as it leaves
the roof? How can you use these velocity components
to find the time it takes to fall from the roof to the
ground? What constant acceleration relations will you
need? s
How far horizontally, in meters, does the hammer travel
from the edge of the roof until it hits the ground?
(b)
m
Transcribed Image Text:A large building has an inclined roof. The length of the roof is 36.5 m and the angle of the roof is 19.0° below horizontal. A worker on the roof lets go of a hammer from the peak of the roof. Starting from rest, it slides down the entire length of the roof with a constant acceleration of 3.19 m/s2. After leaving the edge of the roof, it falls a vertical distance of 38.0 m before hitting the ground. How much time, in seconds, does it take the hammer to fall from the edge of the roof to the ground? (a) Enter a number. Given the acceleration of the hammer as it slides on the roof, what are the velocity components just as it leaves the roof? How can you use these velocity components to find the time it takes to fall from the roof to the ground? What constant acceleration relations will you need? s How far horizontally, in meters, does the hammer travel from the edge of the roof until it hits the ground? (b) m
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