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.

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)=(300)/(16)\\t=√(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.