Question

Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in seconds, for which interval of time is he less than 104 feet above the ground?

Answer 1

Answer:

t >6.25 secs.

Step-by-step explanation:

The equation which gives the relation of his height from the ground(h) in feet and time(t) in second, is h=-16t²+729. ..... (1)

Hence, the time required for him to reach a height of 104 feet from the ground will be given by

104=-16t²+729

⇒16t²=625

⇒t²=625/16

⇒ t=25/4 =6.25 seconds.

So, for the height to be less than 104 feet, time must be greater than 6.25 secs.

i.e. t >6.25 secs. (Answer)