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A driver decreases the speed of a car from 25 m per second to 10 m per second and 5 second find the acceleration of the car?
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A driver decreases the speed of a car from 25 m per second to 10 m per...
Calculating Acceleration of the Car
Acceleration can be calculated using the formula:
\[
a = \frac{{v_f - v_i}}{t}
\]
where:
- \(a\) = acceleration
- \(v_f\) = final velocity
- \(v_i\) = initial velocity
- \(t\) = time

Given Data
- Initial velocity (\(v_i\)) = 25 m/s
- Final velocity (\(v_f\)) = 10 m/s
- Time (\(t\)) = 5 seconds

Substitute the Values
Using the formula, we can substitute the given values:
\[
a = \frac{{10 - 25}}{5}
\]
\[
a = \frac{{-15}}{5}
\]
\[
a = -3 \, \text{m/s}^2
\]

Interpretation
The negative sign indicates that the car is decelerating, i.e., the velocity is decreasing. The acceleration of the car is 3 m/s² in the opposite direction of its motion.
Therefore, the acceleration of the car is -3 m/s².
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A driver decreases the speed of a car from 25 m per second to 10 m per second and 5 second find the acceleration of the car?
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