The height h (in feet)of an object dropped from a tower 54 feet high is modeled by $h = 54 - 16 t ^ { 2 }$ , where t is the time in seconds. How long does it take for the object to reach the ground? Round your answer to two decimal places.
A)3.86 seconds
B)3.67 seconds
C)0.46 second
D)1.84 seconds
E)6.16 seconds

Question

Quizplus · Accepted Answer

To find the time it takes for the object to reach the ground, we set $h = 0$ and solve for $t$. So, $0 = 54 - 16t^2$. Rearranging gives $16t^2 = 54$, and solving for $t$ gives $t = \sqrt{\frac{54}{16}}$, which simplifies to $t = \sqrt{3.375}$. Calculating this gives $t \approx 1.84$ seconds.

The Height H (In Feet)of an Object Dropped from a Tower