If we ignore air resistance, the distance d(t) (in feet) that an object travels in free fall can be approximated by $d ( t ) = 16 t ^ { 2 }$ , where t is the time in seconds after the object was dropped. If a Building is 1323 ft high, how long will it take an object to fall from the top of the building? Round To one decimal place.
A) 9.1 sec
B) 2.3 sec
C) 36.4 sec
D) 12.9 sec

Question

Quizplus · Accepted Answer

Given the formula $d(t) = 16t^2$ and the height of 1323 ft, we solve for $t$ by setting $d(t) = 1323$. Solving $1323 = 16t^2$ gives $t^2 = 82.6875$, and taking the square root gives $t \approx 9.1$ seconds.

If We Ignore Air Resistance, the Distance D(t) (In Feet) d(t)=16t2d ( t ) = 16 t ^ { 2 }d(t)=16t2

If We Ignore Air Resistance, the Distance D(t) (In Feet) $d ( t ) = 16 t ^ { 2 }$