Suppose that a ball is thrown from the top of a 44-foot building. The function h(t) = - 16t2 + 80t +44 models the height in feet, h, of the ball t seconds after it is thrown. a) When does the ball hit the ground? The ball hits the ground after seconds b) Find the time(s) the ball will be 108 feet above ground. You may use fractions or decimals. Use a comma to separate values, if necessary} The ball is 108 feet above ground after seconds 0 c) The ball will be at its highest point after t = 2.5 seconds. Find the height of the ball at that time. The height of the ball after 2.5 seconds is feet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that a ball is thrown from the top of a 44-foot building. The function h(t) = - 16t2 + 80t +44 models the
height in feet, h, of the ball t seconds after it is thrown.
a) When does the ball hit the ground?
The ball hits the ground after
seconds
b) Find the time(s) the ball will be 108 feet above ground. You may use fractions or decimals. Use a comma to separate
values, if necessary}
The ball is 108 feet above ground after
seconds
O
c) The ball will be at its highest point after t = 2.5 seconds. Find the height of the ball at that time.
The height of the ball after 2.5 seconds is
feet
Transcribed Image Text:Suppose that a ball is thrown from the top of a 44-foot building. The function h(t) = - 16t2 + 80t +44 models the height in feet, h, of the ball t seconds after it is thrown. a) When does the ball hit the ground? The ball hits the ground after seconds b) Find the time(s) the ball will be 108 feet above ground. You may use fractions or decimals. Use a comma to separate values, if necessary} The ball is 108 feet above ground after seconds O c) The ball will be at its highest point after t = 2.5 seconds. Find the height of the ball at that time. The height of the ball after 2.5 seconds is feet
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