A car traveling at 30 meters per second 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. Find the cars 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 need to use the formula for acceleration:
acceleration = (final velocity - initial velocity) / time
The initial velocity is given as 30 m/s and the final velocity is 0 m/s (since the car comes to rest at the traffic light). The time is given as 12 seconds.
acceleration = (0 m/s - 30 m/s) / 12 s
Simplifying the expression:
acceleration = -30 m/s / 12 s
acceleration = -2.5 m/s²
Therefore, the car's acceleration during the first 12 seconds of motion is -2.5 m/s².