Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation
h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.
1 answer:
When the ball hits the ground, the height is 0.
0 = 100 - 16t²
0 = (10 - 4t)(10 + 4t)
0 = 10 - 4t or 0 = 10 + 4t
4t = 10 or -4t = 10
t = or t =
Time cannot be negative (unless you have a time machine) so disregard
Answer: t = = 2.5 seconds
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