A stone is dropped from the upper observation deck of a tower, 500 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.) 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 9 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, 500 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.)
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 9 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
S
Transcribed Image Text:A stone is dropped from the upper observation deck of a tower, 500 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.) 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 9 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.) S
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