A car traveling at 28 m/s starts to decelerate steadily. It comes to a complete stop in 13 seconds. What is its acceleration?
v = Vi + a t
0 = 28 + a (13)
a = -28/13 m/s^2
the - sign is because it is braking.
To find the acceleration of the car, you need to use the formula for acceleration:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 28 m/s (given in the question) and the final velocity is 0 m/s (since the car comes to a complete stop). The time taken for the car to stop is 13 seconds.
Now, plug these values into the formula:
acceleration = (0 m/s - 28 m/s) / 13 seconds
Simplifying the equation:
acceleration = -28 m/s / 13 seconds
To find the numerical value of the acceleration, divide -28 m/s by 13 seconds:
acceleration ≈ -2.154 m/s²
Therefore, the acceleration of the car is approximately -2.154 m/s². The negative sign indicates that the car is decelerating or slowing down.