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 = − 4.9 t 2 + c h = - 4.9 t 2 + c , where t is time in seconds, and c is the initial height. a student timed the drop at 1.48 seconds.

Step-by-step explanation:

The equation is

h(t) = -4.9t² + c

where h(t) is the height after its fall and c is the height from which it fell.  We know that when an object hits the ground, its height is 0.  Therefore, h(t) = 0 when the object is on the ground.  If we want to solve for the height from which the object fell, we have to sub the time in for t and solve for c when h(t) = 0:

0 = -4.9(1.48)² + c and

0 = -10.73296 + c so

c = 10.73296 meters