A cliff diver plunges from a height of 25 ft above the water surface. The distance the diver falls in t seconds is given by the function d(t)=16t^(2)ft.
Which equation can be solved for t to find the time (in seconds) when the diver hits the water?
16t^(2)+25=0
16t^(2)=0
16t^(2)+25=-25
16t^(2)=25
16t^(2)-25=25
After how many seconds will the diver hit the water?
s
Given that the velocity of the diver at time t=a is given by
\lim_(h->0)(d(a+h)-d(a))/(h)
what value of a (in s ) should be used to calculate the velocity of the diver when they hit the water?
a=,s
Determine the value of d(a) (in ft ) when the diver hits the water.
d(a)=,ftf(t)/(s) f(t)/(s)