Car's Average Acceleration Calculation

A car starts from rest and after 7 seconds it is moving at 42 m/s. What is the car’s average acceleration? Group of answer choices

0.17 m/s2

1.67 m/s2

7 m/s2

6 m/s2

To find the average acceleration of the car, we can use the formula for average acceleration:

[ \text{Average Acceleration} = \frac{\Delta v}{\Delta t} ]

where:

• (\Delta v) is the change in velocity,
• (\Delta t) is the change in time.

In this case:

• The initial velocity ((v_0)) is 0 m/s (the car starts from rest),
• The final velocity ((v_f)) is 42 m/s,
• The time interval ((\Delta t)) is 7 seconds.

Now, we can calculate the change in velocity ((\Delta v)):

[ \Delta v = v_f - v_0 = 42 , \text{m/s} - 0 , \text{m/s} = 42 , \text{m/s} ]

Now, we can substitute the values into the average acceleration formula:

[ \text{Average Acceleration} = \frac{42 , \text{m/s}}{7 , \text{s}} = 6 , \text{m/s}^2 ]

Thus, the car’s average acceleration is 6 m/s².