A stone is dropped from the upper observation deck of a tower, 100 m above the ground. (Assume g = 9.8 m/s.) (a) Find the distance (in meters) of the stone above ground level at time t. h(t) = (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) s (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 7 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A stone is dropped from the upper observation deck of a tower, 100 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
h(t) =
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
m/s
(d) If the stone is thrown downward with a speed of 7 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
Transcribed Image Text:A stone is dropped from the upper observation deck of a tower, 100 m above the ground. (Assume g = 9.8 m/s2.) (a) Find the distance (in meters) of the stone above ground level at time t. h(t) = (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 7 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
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