A car traveling at 30 m/s passes a road sign located 750 meters ahead in a time of 12 seconds. When the car reaches the road sign, the driver applies the brakes and brings the car to rest at a traffic light located 900 meters ahead of the road sign. Determine the car’s acceleration during the first 12 seconds of motion in m/s^2
To find the car's acceleration during the first 12 seconds of motion, we can use the equation:
acceleration = (final velocity - initial velocity) / time
Given that the initial velocity (u) is 30 m/s and the final velocity (v) is 0 m/s (as the car comes to rest), and the time (t) is 12 seconds, we can substitute these values into the equation:
acceleration = (0 - 30) / 12
Simplifying, we get:
acceleration = (-30) / 12
acceleration = -2.5 m/s^2
Therefore, the car's acceleration during the first 12 seconds of motion is -2.5 m/s^2.