A diver is on a platform 48 feet above the water and dives into the water with an initial velocity of 8 feet/second. Use the vertical motion model, h(t) = - 16t ^ 2 + vt + s swhere v is the initial velocity in feet/second and s is the starting height to calculate the time, t, it takes for the diver to hit the water.

SOLVE EACH PROBLEM ALGEBRAICALLY

1. Write the equation that models the divers height over time?
2. How long does it take the diver to hit the water?
3. When does the diver reach a maximum height?
4. What is the maximum height reached by the diver?​