7.
1 answer:
Answer:
The answer is 1.13;29.25
Step-by-step explanation:
Answer: The ball reaches its maximum height in 1.13 seconds. b) The ball's maximum height is 30.25 feet.
This sort of problem is solved easily by a graphing calculator.
a) The ball reaches its maximum height in 1.13 seconds.
b) The ball's maximum height is 30.25 feet.
_____
Since you want to know when and where the peak value of the function occurs, it is convenient to put it into vertex form.
h = -16(t² -(9/4)t) + 10
h = -16(t² -(9/4)t +(9/8)²) +10 +16(9/8)²
h = -16(t -9/8)² + 10 + 81/4
h = -16(t -9/8)² + 30 1/4
The vertex of the function is (9/8, 30 1/4) ≈ (1.13, 30.25).
h = -16t^2 + 36t + 9
At maximum height h' = 0,
h' = -32t + 36 = 0
32t = 36
t = 36/32 = 1.13 s.
Maximum height = -16(1.125)^2 + 36(1.125) + 9 = 29.25 ft
Answer is option d (1.13 s, 29.25 ft)
The answer is 1.13;29.25
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