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 values

$a=-16$, $v = 0$, $h_0=90$, $h(t)=0$.

Step2: Substitute into formula

$0=-16t^{2}+0t + 90$.

Step3: Solve for t

$16t^{2}=90$, then $t^{2}=\frac{90}{16}$, $t=\sqrt{\frac{90}{16}}\approx2.4$.

Answer:

2.4 s