Acceleration and Distance Calculation for Two Cars
Blue Car's Movement:
Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 4 m/s2 for 4.8 seconds. It then continues at a constant speed for 10.9 seconds, before applying the brakes such that the car's speed decreases uniformly coming to rest 285.31 meters from where it started. The total distance the blue car moves is 353 meters.
Yellow Car's Movement:
The yellow car accelerates uniformly for the entire distance, finally catching the blue car just as the blue car comes to a stop. The yellow car has been accelerating the entire time for 22.056 seconds. Using the formula for acceleration: Yellow car acceleration = (2d/t^2) = (706/486.467) = 1.45 m/s2.
What is the acceleration of the yellow car throughout its movement? The acceleration of the yellow car throughout its movement is 1.45 m/s2.