Question

a baseball is traveling (+20 m/s) and is hit by a bat. it leaves the bat traveling (-30 m/s). what is the change in the velocity? remember that direction is what makes velocity different than speed -10 m/s -20 m/s -30 m/s -50 m/s

Explanation:

Step1: Recall the formula for change in velocity

The formula for change in velocity $\Delta v$ is $\Delta v=v_{final}-v_{initial}$.

Step2: Identify the initial and final velocities

Given $v_{initial} = + 20\ m/s$ and $v_{final}=-30\ m/s$.

Step3: Substitute the values into the formula

$\Delta v=-30-(+20)$.
Using the rule $a - b=a+(-b)$, we have $\Delta v=-30+( - 20)$.
Adding the two negative numbers (since they have the same sign), we get $\Delta v=-(30 + 20)=-50\ m/s$.

Answer:

$-50\ m/s$