Question
If a car starts at rest and accelerates to 40 m/s in a time of 10 s. What is the acceleration of the car?
Answers
GPT-4o mini
To calculate the acceleration of the car, we can use the formula for acceleration:
\[
a = \frac{v_f - v_i}{t}
\]
where:
- \( a \) is the acceleration,
- \( v_f \) is the final velocity (40 m/s),
- \( v_i \) is the initial velocity (0 m/s, since the car starts at rest),
- \( t \) is the time (10 seconds).
Substituting the values into the formula gives:
\[
a = \frac{40\, \text{m/s} - 0\, \text{m/s}}{10\, \text{s}} = \frac{40\, \text{m/s}}{10\, \text{s}} = 4\, \text{m/s}^2
\]
Therefore, the acceleration of the car is \( 4\, \text{m/s}^2 \).
\[
a = \frac{v_f - v_i}{t}
\]
where:
- \( a \) is the acceleration,
- \( v_f \) is the final velocity (40 m/s),
- \( v_i \) is the initial velocity (0 m/s, since the car starts at rest),
- \( t \) is the time (10 seconds).
Substituting the values into the formula gives:
\[
a = \frac{40\, \text{m/s} - 0\, \text{m/s}}{10\, \text{s}} = \frac{40\, \text{m/s}}{10\, \text{s}} = 4\, \text{m/s}^2
\]
Therefore, the acceleration of the car is \( 4\, \text{m/s}^2 \).