Question
A car has an initial velocity of 5.0 m/s. After 5 s of constant acceleration, it is driving 45 m/s. What is
the acceleration of the car?
40 m/s^2
8.0 m/s^2
200 m/s^2
0.13 m/s^2
the acceleration of the car?
40 m/s^2
8.0 m/s^2
200 m/s^2
0.13 m/s^2
Answers
GPT-4o mini
To find the acceleration of the car, we can use the formula for acceleration:
\[ a = \frac{{v_f - v_i}}{{t}} \]
where:
- \( v_f \) is the final velocity (45 m/s),
- \( v_i \) is the initial velocity (5.0 m/s), and
- \( t \) is the time (5 s).
Substituting the values into the formula:
\[ a = \frac{{45 \, \text{m/s} - 5.0 \, \text{m/s}}}{5 \, \text{s}} \]
\[ a = \frac{{40 \, \text{m/s}}}{5 \, \text{s}} \]
\[ a = 8.0 \, \text{m/s}^2 \]
Therefore, the acceleration of the car is **8.0 m/s²**.
\[ a = \frac{{v_f - v_i}}{{t}} \]
where:
- \( v_f \) is the final velocity (45 m/s),
- \( v_i \) is the initial velocity (5.0 m/s), and
- \( t \) is the time (5 s).
Substituting the values into the formula:
\[ a = \frac{{45 \, \text{m/s} - 5.0 \, \text{m/s}}}{5 \, \text{s}} \]
\[ a = \frac{{40 \, \text{m/s}}}{5 \, \text{s}} \]
\[ a = 8.0 \, \text{m/s}^2 \]
Therefore, the acceleration of the car is **8.0 m/s²**.