Answer:
- 1.875 seconds to reach the maximum height
- 62.25 ft
Step-by-step explanation:
The problem can be solved by putting the equation into vertex form.
s - 6 = -16(t^2 -15/4t)
s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation
s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant
s = -16(t -1.875)^2 +62.25 . . . . put in vertex form
The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).
1. It took 1.875 seconds for the ball to reach its maximum height.
2. The ball went up to 62.25 feet.
