A diver is standing on a platform 24 feet above the pool. He dives form the platform with an initial upward velocity of 8 feet per

second is dive is modeled by the equation h = - 16 - + 8t + 24, where h is his height above the water att seconds. How long will

it take the diver to hit the water?

A)

1 second

0:05:21

B)

15 seconds

2 seconds

2.5 seconds

It should be t = 1.5 seconds if your equation is h (t) = - 16*t^2 + 8t + 24

Step-by-step explanation:

h (t) = - 16*t^2 + 8t + 24

We want to solve for t when h (t) = 0.

This is a parabolic equation so basically we can use the quadratic formula to solve this.

h (t) = - 16*t^2 + 8t + 24

0 = h (t) = - 16*t^2 + 8t + 24

take out the 8

0 = - 2t^2 + t + 3

0 = - 2t*t - 2t + 3t + 3

0 = - 2t * (t + 1) + 3 * (t + 1)

0 = (-2t + 3) * (t + 1)

so time cannot be negative, so we choose 0 = (-2t + 3), t = 3/2 seconds

or t = 1.5 seconds