Question

isaac is sitting under an apple tree reading a book when a gust of wind causes an apple to fall. it drops from a height of 8 feet and lands on the ground next to him. which equation can you use to find how many seconds it takes for the apple to reach the ground? if an object falls from s feet above the ground, the object’s height in feet, h, after t seconds can be modeled by the formula h = -16t² + s. 0 = -16t² + 8 8 = -16t² to the nearest tenth of a second, how long does it take for the apple to reach the ground? seconds

Explanation:

Step1: Determine when apple reaches ground

When apple lands, h=0, s=8. Use h=-16t²+s. Substitute h=0, s=8: 0=-16t²+8.

Step2: Solve for t

From 0=-16t²+8, rearrange: 16t²=8 → t²=8/16=0.5 → t=√0.5≈0.7.

Answer:

0 = -16t² + 8
0.7 seconds