At time t=0, in seconds, a pair of sunglasses is dropped from the Eiffel Tower in Paris. At times t, it’s height in feet above the ground is given by h(t) = -16t^2+900
a.) what does the function tell us about the height from which the sunglasses were dropped? Include units in your answer.
b.) when do the sunglasses hit the ground? Include units in your answer.
At time t=0 the object will be at its highest point....the point where it started its fall
substitute t= 0 in to the equation
h(t) = - 16(0)^2 + 900 = 900 ft
The object will hit the ground when the equation is EQUAL to 0....
0 = -16t^2 + 900
900 = 16t^2
900/16 = 56.25= t^2 so t=sqrt(56.25) = 7.5 seconds to hit the ground.