Powell Little
07/28/2023 · Senior High School
If a worker accidentally drops a bolt from the top of a 2304 foot tall tower, the height of the bolt after \( t \) seconds is given by the expression \( 2304-16 \mathrm{t}^{2} \). a. Find the height of the bolt after 2 seconds. b. Find the height of the bolt after 5 seconds. c. To the nearest whole second, estimate when the bolt hits the ground. d. Factor \( 2304-16 t^{2} \).
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a. The height of the bolt after 2 seconds is 2240 feet.
b. The height of the bolt after 5 seconds is 1904 feet.
c. The bolt hits the ground after approximately 12 seconds.
d. The factored form of \( 2304 - 16t^2 \) is \( (48 - 4t)(48 + 4t) \).
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