you are dropping a container from a 30 foot high building, write a function that gives the height in feet and the time. When will the container hit the ground?

Answer 1

The general equation that would apply here is d = v_i*t + 0.5at² where d is the distance traveled, v_i is the initial velocity, t is the time and a is the acceleration. In this case, we are dropping the container from rest, so v_i is zero, which simplifies the equation to d = 0.5at². Since we want to know t, this becomes t = sqrt(d/0.5a) or sqrt(2d/a).

We know d is 30 feet. a is the acceleration due to gravity, which is roughly 32 feet/sec², so the final equation is t = sqrt(64/32) = sqrt(2) = approx 1.41 seconds