53. Anna hits a softball at a height of 3 ft from the ground. The softball leaves her bat traveling with an initial speed of 80 ft/sec, at an angle of 30° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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53. Anna hits a softball at a height of 3 ft from the
ground. The softball leaves her bat traveling with an
initial speed of 80 ft/sec, at an angle of 30° from the
horizontal. Choose a coordinate system with the origin
at ground level directly under the point where the ball
is struck.
a. Write parametric equations that model the path of the
ball as a function of time t (in sec).
b. When is the ball at its maximum height?
c. What is the maximum height? Round to the
nearest foot.
d. If an outfielder catches the ball at a height of 5 ft,
how long was the ball in the air after being struck?
Give the exact answer and the answer rounded to
the nearest hundredth of a second.
e. How far is the outfielder from home plate when she
catches the ball? Round to the nearest foot.
19 A
. Wri
Transcribed Image Text:53. Anna hits a softball at a height of 3 ft from the ground. The softball leaves her bat traveling with an initial speed of 80 ft/sec, at an angle of 30° from the horizontal. Choose a coordinate system with the origin at ground level directly under the point where the ball is struck. a. Write parametric equations that model the path of the ball as a function of time t (in sec). b. When is the ball at its maximum height? c. What is the maximum height? Round to the nearest foot. d. If an outfielder catches the ball at a height of 5 ft, how long was the ball in the air after being struck? Give the exact answer and the answer rounded to the nearest hundredth of a second. e. How far is the outfielder from home plate when she catches the ball? Round to the nearest foot. 19 A . Wri
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