Question

If a baseball were thrown horizontally from a height of 0.809m. How much time would it take to hit the

ground? Show your work

Answer 1

The baseball takes 0.41 seconds to hit the ground

Explanation:

Horizontal Motion

An object thrown horizontally from a height h with an initial speed vo describes a curved path until it hits the ground.

The vertical component of the motion is treated independently of the horizontal component and is ruled exclusively by gravity.

If the object has been traveling during a time t, then the vertical distance is calculated as:

`\displaystyle y=(g.t^2)/(2)`

If we want to know the time the object takes to travel a distance h, then we can solve the equation for t:

`\displaystyle t=\sqrt{(2h)/(g)}`

Since h=0.809 m:

`\displaystyle t=\sqrt{(2*0.809)/(9.8)}`

t=0.41 sec

The baseball takes 0.41 seconds to hit the ground