Question

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?
h(t)=at² + vt + h₀

Explanation:

Step1: Sustituir valores en la ecuación

Dado \(h(t)=at^{2}+vt + h_{0}\), donde \(a=- 16\), \(v = 0\), \(h_{0}=90\) y \(h(t)=0\) (al tocar el suelo). Sustituimos:
\(0=-16t^{2}+0\times t + 90\)
\(16t^{2}=90\)

Step2: Resolver para \(t\)

Dividir ambos lados por \(16\):
\(t^{2}=\frac{90}{16}=5.625\)
Tomar la raíz cuadrada:
\(t=\sqrt{5.625}\approx2.4\)

Answer:

\(2.4\ s\)