a golf ball is hit with an initial velocity of 140 feet per second at an inclination of 45° to the horizontal. in physics, it is established that the height h of the golf ball is given by the function h(x)=\frac{-32x^{2}}{140^{2}}+x, where x is the horizontal distance that the golf ball has traveled. complete parts (a) through (g). (a) determine the height of the golf ball after it has traveled 100 feet. h = 83.67 feet (round to two decimal places as needed.) (b) what is the height after it has traveled 250 feet? h = ext{ } feet (round to two decimal places as needed.)

Question

a golf ball is hit with an initial velocity of 140 feet per second at an inclination of 45° to the horizontal. in physics, it is established that the height h of the golf ball is given by the function h(x)=\frac{-32x^{2}}{140^{2}}+x, where x is the horizontal distance that the golf ball has traveled. complete parts (a) through (g). (a) determine the height of the golf ball after it has traveled 100 feet. h = 83.67 feet (round to two decimal places as needed.) (b) what is the height after it has traveled 250 feet? h =  	ext{ } feet (round to two decimal places as needed.)

Accepted Answer

# Explanation:
## Step1: Identify the function
The height function is $h(x)=\frac{-32x^{2}}{140^{2}}+x$.
## Step2: Substitute $x = 250$
Substitute $x = 250$ into the function:
$$
\begin{align*}
h(250)&=\frac{-32\times250^{2}}{140^{2}}+250\
&=\frac{-32\times62500}{19600}+250\
&=\frac{-2000000}{19600}+250\
&=-\frac{2000000\div400}{19600\div400}+250\
&=-\frac{5000}{49}+250\
&=-\frac{5000}{49}+\frac{250\times49}{49}\
&=\frac{- 5000 + 12250}{49}\
&=\frac{7250}{49}\approx147.96
\end{align*}
$$
# Answer:
$147.96$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the function

Step2: Substitute $x = 250$

Answer: