A smoke jumper jumps from a plane that is 1800 ft above the ground. The function h=-16^2 + 1800 gives the jumper's height h in feet during the free fall at t seconds.

a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 950 ft?

What is a reasonable range for the function h?
-1800<h<1800
0<h<1800
-10<h<10
0<h<10
All real numbers

What is a reasonable domain for the function h?
0<t<10
0<t<1800
-1800<t<1800
-10<t<10
All real numbers

1 answer

Idk

Did you know?

Did you know that a smoke jumper, someone who jumps out of planes to combat wildfires, experiences free fall during their jump? The height, in feet, of the smoke jumper during free fall can be calculated using the function h=-16^2 + 1800. This function represents the height h in feet at time t in seconds. Now, let's answer a couple of questions based on this information. If the parachute opens at 1000 ft, the jumper would be in free fall for a certain amount of time. Similarly, if the parachute opens at 950 ft, the jumper would be in free fall for another duration. Can you calculate those times? Furthermore, a reasonable range for the function h in this case would be -1800 < h < 1800, as the jump occurs from 1800 ft above the ground. As for the domain, or the range of values for t, a reasonable domain for the function h would be 0 < t < 10, as the jumper's free fall is not expected to last longer than 10 seconds.