Question

An arrow is shot vertically upward from a platform 28ft high at a rate of 212ft/sec . When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0 . (Round your answer to the nearest tenth.)

Answer 1

The arrow will hit the ground at t = 14.3 seconds.

Step-by-step explanation:

To find when the arrow will hit the ground, we can use the formula h = -16t^2 + v0t + h0, where h is the height, t is the time, v0 is the initial velocity, and h0 is the initial height.

In this case, the initial height is 28ft, the initial velocity is 212ft/sec, and we want to find the time when the height is 0ft.

Plugging in these values into the formula: 0 = -16t^2 + 212t + 28

Using the quadratic formula or factoring, we find two solutions for t: t = 1.3s or t = 14.3s.

Since we are looking for the time when the arrow hits the ground, we take the positive solution t = 14.3s as the answer.