Question

Solve the problem. a ball is thrown downward from a window in a tall building. its position at time t in seconds is s = 16t² + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 95 feet?

Answer 1

At first we will have to calculate the dy/dx.

So, ds/dt=32t+32

Then to calculate the time,t we will have to consider ds/dt=95

Therefore,

32t+32=95

32t=95-32

t=63/32

t=1.96875s or 2s

Answer 2

1.96785 is the answer. ope it hels