Answer:
The answer to your question is t = 2.33 s; vf = 32.87 m/s
Explanation:
Data
vo = 10 m/s
h = 50 m
t = ?
vf = ?
g = 9.81 m/s²
Formula
h = [tex]\frac{vo + vf}{2} t[/tex]
h = vot + [tex]\frac{1}{2} at^{2}[/tex]
a) Substitution
50 = 10t + 1/2(9.81)t²
Simplification
4.91t² + 10t - 50 = 0
Solve the equation using an online calculator
t₁ = -4.33 t₂ = 2.33 s
The correct answer is t₂, t₁ is not correct because there are not negative times.
b) vf² = vo² + 2gh
vf² = 10² + 2(9.81)(50)
vf² = 100 + 981
vf² = 1081
vf = √1081
vf = 32.87 m/s
