Question

jerald jumped from a bungee tower. if the equation that models his height in feet is h=-16t^2 729, where t is the time in seconds, for which interval of time is he within 104 feet above the ground a) t>6.25 b)-6.25

Answer 1

Option a). t > 6.25

Explanation:

The given equation models the height of Jerald after a jump from a bungee tower.

h = (-16t²) + 729

Where h = height in feet

t = time in seconds

Now we have to find the interval of time in which Jerald is within 104 feet.

To cover 104 feet Jerald takes the time which we can calculate as

h = -16t² + 729 = 104

-16t² = 104 - 729

-16t²= -625

16t² = 625

(4t)² = 25²

4t = 25

t = 25/4 = 6.25 sec.

Since Jerald is still above the ground then after covering 104 feet and above the ground will be

t > time to cover 104 feet

t > 6.25

Therefore option a) t > 6.25 is the answer.

Answer 2

104 = -16t^2 + 729
16t^2 = 729 - 104 = 625
t^2 = 625/16 = 39.0625
t = sqrt(39.0625) = 6.25

Therefore, t > 6.25 is the time at which he is within 104 feet above the ground.