Question

A bungee jumper falls from a bridge 400 feet above ground. Her height above ground after t seconds is given by the equation where h is the height of the jumper in feet and t is the time in seconds since her jump. Approximately how long will it take for the bungee jumper to reach 100 feet above the ground on her initial jump?

Answer 1

Answer: B. 4.3 seconds.

Step-by-step explanation:

1. You must substitute h=100 into the equation given in the problem and solve for the time, as you can see below:

$h=-16t^{2}+400\\100=-16t^{2}+400\\16t^{2}=400-100\\16t^{2}=300\\t^{2}=\frac{300}{16}\\t=\sqrt{18,75}\\t=4.3$

3. Then, it will take 4.3 seconds for the bungee jumper to reach 100 feet above the ground on her initial jump. Therefore,  the answer is the option B.