1. A stone is thrown vertically upward from the top of a house 50 ft above the ground with an initial velocity of 30 ft/sec. (a) How long will it take the stone to reach its greatest height, and (b) what is its greatest height? (c) How long will it take the stone to pass the top of the house on its way down, and (d) what is its velocity at that instant? (e) How long will it take the stone to reach the ground, and (f) with what velocity will it strike the ground?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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1. A stone is thrown vertically upward from the top of a house 50 ft above the ground with
an initial velocity of 30 ft/sec. (a) How long will it take the stone to reach its greatest height,
and (b) what is its greatest height? (c) How long will it take the stone to pass the top of the
house on its way down, and (d) what is its velocity at that instant? (e) How long will it take
the stone to reach the ground, and (f) with what velocity will it strike the ground?
Transcribed Image Text:1. A stone is thrown vertically upward from the top of a house 50 ft above the ground with an initial velocity of 30 ft/sec. (a) How long will it take the stone to reach its greatest height, and (b) what is its greatest height? (c) How long will it take the stone to pass the top of the house on its way down, and (d) what is its velocity at that instant? (e) How long will it take the stone to reach the ground, and (f) with what velocity will it strike the ground?
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