(a) Find the value(s) of the time t when h(t) = 32 ft. (b) Find the time required for the ball to hit the ground. (c) Use the results to determine the maximum height, and sketch the height h(t) of the ball.

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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Attached is a math question. Solve all parts with work shown.

(a) Find the value(s) of the time t when
h(1) = 32 ft.
(b) Find the time required for the ball
to hit the ground.
(c) Use the results to determine the
maximum height, and sketch the
height h(t) of the ball.
Transcribed Image Text:(a) Find the value(s) of the time t when h(1) = 32 ft. (b) Find the time required for the ball to hit the ground. (c) Use the results to determine the maximum height, and sketch the height h(t) of the ball.
2-17. At time t = 0, a ball is thrown vertically
from the top of the building at a speed of
56 ft/s, as shown in Fig. P2.17. The height
of the ball at time t is given by
h(t) = 32 + 56t – 16² ft.
v = 56 ft/s
32 ft
000
00
Figure P2.17 A ball thrown vertically
from the top of a building.
Transcribed Image Text:2-17. At time t = 0, a ball is thrown vertically from the top of the building at a speed of 56 ft/s, as shown in Fig. P2.17. The height of the ball at time t is given by h(t) = 32 + 56t – 16² ft. v = 56 ft/s 32 ft 000 00 Figure P2.17 A ball thrown vertically from the top of a building.
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