Homework help!! Functions – scenario represented by an equation..?
A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 30 degrees to the horizontal. In physics, it is established that the height [h] of the golf ball is given by the function
h(x)= -32x^2 / 130^2 + x
Where x is the horizontal distance that the golf ball has traveled.
a. Determine the height of the golf ball after it has traveled 100 feet.
b. 300 feet
c. 500 feet
d. How far was the golf ball hit?
Favorite Answer
-32*100^2 / 130^2 + 100
= -32*10^4 / 169*10^2 + 10^2
= 10^2(1 – 32/169)
= 81.07ft.
(b)
10^2(1 – 9*32/169)
= 70.41ft.
(c)
10^2(1 – 25*32/169)
= 37.34ft.
(d)
If x is the distance travelled, then h(x) = 0.
x – 32x^2 / 130^2 = 0
(32/16900)x^2 – x = 0
x((32/16900)x – 1) = 0
x = 0 or x = 16900/32 = 528.12
The golf ball was hit 528.13ft..
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