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 within 104 feet above the ground?

Verified Answer :

i believe it isssssss 6.5

As per the given equation \(h = -16t^{2} +729\) interval of time is Jerald within 104 feet above the ground is equals to \(t > 6.25\) seconds.

What is equation?

" Equation is defined as the algebraic expression which represents the relation between variables using the sign of equality."

According to the question,

Given equation,

\(h = -16t^{2} +729\)

h = height in feet

t = time in seconds

As per given condition interval of time we get from above equation,

\(h < 104\)

Therefore,

\(-16t^{2} +729 < 104\\\\\implies -16t^{2} < 104-729\\\\\implies -16t^{2} < -625\\\\\implies t^{2} > \frac{625}{16} \\\\\implies t > 6.25\)

Hence, as per the given equation \(h = -16t^{2} +729\) interval of time is Jerald within 104 feet above the ground is equals to \(t > 6.25\) seconds.

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