Question 1149519: At time t=0, in seconds, a pair of sunglasses is dropped from the Eiffel Tower in Paris. At time t, its height in feet above the ground is given by h(t)=−16t2+64.
According to this function, from what height were the sunglasses dropped? Include units in your answer.
When do the sunglasses hit the ground? Include units in your answer.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website! .
At t=0, the value of the given function is 64 --- hence, the height from which the sunglasses were dropped is 64 feet.
It will hit the ground when h(t) = 0 = -16*t^2 + 64 = 0 ====>
16t^2 = 64 ====> t^2 =  = 4 ====> t =  = 2 seconds.
All questions are answered ====> the problem is solved successfully.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
The sunglasses are dropped at t=0. To find the height from which they were dropped, evaluate h(0).
When they hit the ground, the height is 0. To find when they hit the ground, solve the equation h(t) = 0.
The instructions are to include units in your answers. The problem says the units of time are seconds and the units of height are feet.
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