The step function g(x) is defined as shown.
2 answers:
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Answer:
Yes; at 1.75 s; 72.25 ft
Step-by-step explanation:
h = -16t² +68t
a = -16; b = 68; c = 0
The vertex h of a parabola is at
h = -b/(2a) and the maximum height is at
y = f(h)
1. Time to maximum height
2. Maximum height
3. Does the golf ball reach 70 ft?
Yes, it passes 70 ft on the way to its maximum height of 72.25 ft.
4. Time to 70 ft
-16t² + 68t = 70
-16t² + 68t - 70 = 0
8t² -34t + 35 = 0
( 4t -7) (2t - 5) = 0
4t - 7 = 0 2t - 5 = 0
4t = 7 2t = 5
t = 1.75 s t = 2.5 s
The golf ball reaches 70 ft at 1.75 s on the way up and 2.5 s on the way down.
The diagram below shows the path of your parabola.
