SA ball is thrown upward from the top of a building 310 feet tall. The height of the ball is described by the function h(t) = -16t2 + 30t + 310, where t is in 0 corresponds to the moment seconds and t %3D the ball is thrown. a) Determine for what value of t the ball reaches the maximum height and determine this maximum height. t = and maximum height = b) Determine when the ball reaches the ground. t =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A ball is thrown upward from the top of
a building 310 feet tall. The height of the ball is
described by the function
h(t) = -16t2 + 30t + 310, where t is in
seconds andt= 0 corresponds to the moment
the ball is thrown.
a) Determine for what value of t the ball reaches
the maximum height and determine this
maximum height.
t =
and maximum
height =
b) Determine when the ball reaches the ground.
t =
Transcribed Image Text:A ball is thrown upward from the top of a building 310 feet tall. The height of the ball is described by the function h(t) = -16t2 + 30t + 310, where t is in seconds andt= 0 corresponds to the moment the ball is thrown. a) Determine for what value of t the ball reaches the maximum height and determine this maximum height. t = and maximum height = b) Determine when the ball reaches the ground. t =
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