To determine the magnitude of the acceleration of the car, we will use the formula provided in the image:

$a = \frac{v_f - v_i}{t_f - t_i}$

Where:

• $v_f$ and $v_i$ are the final and initial velocities, respectively.
• $t_f$ and $t_i$ are the final and initial times, respectively.

From the table:

• Initial time $t_i = 1.0 \, \text{s}$, Initial speed $v_i = 4.0 \, \text{m/s}$
• Final time $t_f = 7.0 \, \text{s}$, Final speed $v_f = 19.0 \, \text{m/s}$

Now, applying these values to the acceleration formula:

$a = \frac{19.0 \, \text{m/s} - 4.0 \, \text{m/s}}{7.0 \, \text{s} - 1.0 \, \text{s}} = \frac{15.0 \, \text{m/s}}{6.0 \, \text{s}} = 2.5 \, \text{m/s}^2$

Thus, the magnitude of the car's acceleration is 2.5 m/s².

Would you like further explanation on this? Here are five related questions you might find helpful:

1. How do you calculate average acceleration in non-uniform motion?
2. What are the units of acceleration in the SI system?
3. How can you find acceleration if you only have the distance and time?
4. What is the difference between average and instantaneous acceleration?
5. How can the concept of acceleration apply to deceleration or braking?

Tip: Always make sure to use consistent units (e.g., seconds for time, meters per second for speed) when calculating acceleration to avoid mistakes.