an egg is dropped from a height of 90 ft. if acceleration due to gravity is -16 ft/s² and initial velocity…

an egg is dropped from a height of 90 ft. if acceleration due to gravity is -16 ft/s² and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?\nh(t)=at² + vt + h₀\n1.9 s\n2.4 s\n9.7 s\n40.7 s

an egg is dropped from a height of 90 ft. if acceleration due to gravity is -16 ft/s² and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?\nh(t)=at² + vt + h₀\n1.9 s\n2.4 s\n9.7 s\n40.7 s

Answer

Explanation:

Step1: Identify the values

Given $a=-16$, $v = 0$, $h_0=90$ and $h(t)=0$ (ground - level). Substitute into $h(t)=at^{2}+vt + h_0$. $0=-16t^{2}+0\times t + 90$

Step2: Solve for $t$

$16t^{2}=90$ $t^{2}=\frac{90}{16}$ $t=\sqrt{\frac{90}{16}}$ $t=\frac{\sqrt{90}}{4}\approx\frac{9.49}{4}\approx2.4$

Answer:

2.4 s