+64 You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height h (in feet) above the water in terms of t seconds is given by h(t) = -16t2 +6t +12.
a. When do you hit the water? Round your answer to the nearest hundredth.
b. What is your maximum height above the pool?
+129840 a. Taking the height of the water's surface as 0, we have
-16t^2 + 6t + 12 = 0 divide through by -2
8t^2 - 3t - 6 = 0 this will not factor.....using the quadratic formula, we get that t =
about 1.07 seconds
b. The max height above the pool is given by c - [ b^2 ] / [4a] = 12 - [36]/ [ 4(-16)] =
12 + 36/64 =
12 + 9/16 ft =
12.5625 ft
