a ball is thrown into the air. its height in feet after t seconds is given by the function h(t) = -5t² + 20t. how high will the ball be after 3 seconds? 12/16 5 ft 15 ft 20 ft 10 ft

Question

Accepted Answer

# Explanation:
## Step1: Identify the function
The height function is $ h(t) = -5t^2 + 20t $. We need to find $ h(3) $.

## Step2: Substitute $ t = 3 $ into the function
Substitute $ t = 3 $ into $ h(t) $:
$$
\begin{align*}
h(3) &= -5(3)^2 + 20(3) \
&= -5(9) + 60 \
&= -45 + 60 \
&= 15
\end{align*}
$$

# Answer:
15 ft

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the function

Step2: Substitute \( t = 3 \) into the function

Answer: