rodneylittle50 rodneylittle50
  • 25-11-2022
  • Chemistry
contestada

How fast is a ball going when it hits the ground after being dropped from a height of 9 m? The acceleration of gravity is 9.8 m/s

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 25-11-2022

Answer:

[tex]\huge\boxed{\sf v_f = 1.48\ m/s}[/tex]

Explanation:

Given Data:

Height = h = 9m

Acceleration due to gravity = g = 9.8 m/s²

Initial Velocity = Vi = 0 m/s

Required:

Final Velocity = Vf = ?

Formula:

[tex]2gh = v_f^2 - v_i^2[/tex] (Third equation of motion for free-falling bodies)

Solution:

2(9.8)(9) = vf² - 0²

2.18 = vf²

vf² = 2.18

Take sq. rt on both sides

vf = 1.48 m/s

[tex]\rule[225]{225}{2}[/tex]

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