A pitcher throws a baseball straight into the air with a velocity of 72 feet/sec. If acceleration due to gravity is −32 ft/sec2, how many seconds after it leaves the pitcher's hand will it take the ball to reach its highest point? Assume the position at time t = 0 is 0 feet.
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OpenStudy (perl):
You can use the equation:
$$ \Large {
y = -\frac g 2 t^2 + v_ot + y_o
}$$
OpenStudy (perl):
v_0 = velocity at time zero
y_o = height at time zero
g = acceleration due to gravity
OpenStudy (anonymous):
i dont know the last two vairables
OpenStudy (anonymous):
@perl
OpenStudy (perl):
we are given that v_o = 72 ft/s, and y_0 = 0
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OpenStudy (perl):
You can use the equation:
$$ \Large {
y = -\frac g 2 t^2 + v_ot + y_o
\\ \therefore \\
y = -\frac{32}{2}\cdot t^2 + 72t + 0
}$$
OpenStudy (anonymous):
y=-16t^2+72t
OpenStudy (anonymous):
@perl
OpenStudy (anonymous):
@rational
OpenStudy (perl):
yes thats correct. now find the maximum of that .
that occurs when t = -b / (2a)
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