Use this to determine the height from which the ball was dropped, to at least 2 decimal places.

Question

In the video, I drop a ball off a three-story balcony. We know that objects in freefall follow the equation for height h, in meters, h=-4.9t^2+c,where t is time in seconds, and c is the initial height. A student timed the drop at 1.46 seconds.

Use this to determine the height from which the ball was dropped, to at least 2 decimal places.

Answer 1

Set h=0, plug in t=1.46, and solve for c.

h(t) = -4.9t² + c

0 = -4.9(1.46)² + c

You should be able to finish from here. The value of c will be in meters.