Question

if the change in velocity increases, what happens to the acceleration during the same time period?
○ acceleration decreases.
○ acceleration increases.
○ acceleration becomes negative.
○ acceleration becomes steady.

Explanation:

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\), where \(\Delta v\) is the change in velocity and \(\Delta t\) is the time interval.

Step2: Analyze the relationship between \(\Delta v\) and \(a\)

If \(\Delta v\) (change in velocity) increases while \(\Delta t\) (time) is constant (assuming the time period is fixed, which is a reasonable assumption as the problem is about the relationship during the “same time period”), then from the formula \(a = \frac{\Delta v}{\Delta t}\), when \(\Delta t\) is constant and \(\Delta v\) increases, the value of \(a\) (acceleration) increases.

Answer:

Acceleration increases.