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A car is traveling at 30 m/s when the driver applies the brakes. The car comes to rest in 5 seconds. What is the deceleration of the car?

April 29, 2026Physics

ScanSolve AI Answer

Answer

\text{6 m/s}^2

4 steps

Identify the given values.
The initial velocity of the car is $u = 30 \text{ m/s}$ .
The car comes to rest, so the final velocity is $v = 0 \text{ m/s}$ .
The time taken is $t = 5 \text{ s}$ .
Use the formula for acceleration.
Acceleration $a$ is defined as the change in velocity over time:
$a = \frac{v - u}{t}$
Substitute the values into the formula.
$a = \frac{0 \text{ m/s} - 30 \text{ m/s}}{5 \text{ s}}$ $a = \frac{-30 \text{ m/s}}{5 \text{ s}}$ $a = -6 \text{ m/s}^2$
Determine the deceleration.
Deceleration is the magnitude of the negative acceleration.
Therefore, the deceleration is $6 \text{ m/s}^2$ .