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 = (square) feet (round to two decimal places as needed.)

Question

Accepted Answer

# Explanation:
## Step1: Identify the function and value of x
The height - function is $h(x)=\frac{-32x^{2}}{140^{2}}+x$, and $x = 100$.
## Step2: Substitute x into the function
Substitute $x = 100$ into $h(x)$:
$$
\begin{align*}
h(100)&=\frac{-32\times100^{2}}{140^{2}}+100\
&=\frac{-32\times10000}{19600}+100\
&=\frac{-320000}{19600}+100\
&=-\frac{800}{49}+100
\end{align*}
$$
## Step3: Calculate the value of h(100)
$$
\begin{align*}
h(100)&=-\frac{800}{49}+100\
&=\frac{- 800 + 4900}{49}\
&=\frac{4100}{49}\approx83.67
\end{align*}
$$
# Answer:
$83.67$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the function and value of x

Step2: Substitute x into the function

Step3: Calculate the value of h(100)

Answer: