Question

question 13 (5 points) listen if the velocity of a body changes from 13 m/s to 30 m/s while undergoing constant acceleration, whats the average velocity of the body? a) 21.5 m/s b) 19.5 m/s c) 17 m/s d) 28 m/s

Explanation:

Step1: Recall the formula for average velocity under constant acceleration.

The formula for average velocity (\(v_{avg}\)) when velocity changes from an initial velocity (\(v_i\)) to a final velocity (\(v_f\)) under constant acceleration is \(v_{avg}=\frac{v_i + v_f}{2}\).

Step2: Identify the given values.

Here, the initial velocity \(v_i = 13\space m/s\) and the final velocity \(v_f = 30\space m/s\).

Step3: Substitute the values into the formula.

Substitute \(v_i = 13\space m/s\) and \(v_f = 30\space m/s\) into the formula \(v_{avg}=\frac{v_i + v_f}{2}\).
We get \(v_{avg}=\frac{13 + 30}{2}\).

Step4: Calculate the numerator first.

First, calculate the sum of the initial and final velocities: \(13+30 = 43\).

Step5: Divide the sum by 2.

Now, divide the sum by 2: \(\frac{43}{2}=21.5\space m/s\).

Answer:

A) 21.5 m/s