Question

If a baseball lands with a speed of 80 miles/hr after traveling with an acceleration of -6 miles/hr/sec for 5seconds, what was the initial speed at which the ball was hit?

Answer 1

We are given that an object falls with an acceleration of -6 miles/h/s. To determine the initial velocity we will use the following motion:

`v_f=v_0+at`

Where:

`\begin{gathered} v_f,v_0=\text{ final and initial velocity} \\ a=\text{ acceleration} \\ t=\text{ time} \end{gathered}`

Now, we solve for the initial velocity by subtracting "at" from both sides:

`v_f-at=v_0`

Now, we plug in the values:

`80(mi)/(h)-(6(mi)/(hs))(5s)=v_0`

Now, we solve the operations:

`50(mi)/(h)=v_0`

Therefore, the initial velocity is 50 mi/h.