Question

now try this one:
a skydiver jumps from a plane that is 5000 feet above the ground.
an equation that gives the height (in feet) of the skydiver above the ground as a function of time (in seconds) is
$h = -16t^2 + 5000$
how high above the ground is the skydiver after 10 seconds?
\bigcirc 1600 feet
\bigcirc 2400 feet
\bigcirc 3400 feet
\bigcirc he is on the ground

Explanation:

Step1: Substitute t = 10 into the equation

We have the height equation \( h = -16t^2 + 5000 \). Substitute \( t = 10 \) into it:
\( h = -16\times(10)^2 + 5000 \)

Step2: Calculate the value of \( -16\times(10)^2 \)

First, calculate \( (10)^2 = 100 \), then \( -16\times100 = -1600 \)

Step3: Calculate the final height

Now, add this to 5000: \( h = -1600 + 5000 = 3400 \)

Answer:

3400 feet (corresponding to the option "3400 feet")