Final answer:
The car travels a total distance of 150 meters at the end of 20 seconds.
Step-by-step explanation:
The car is traveling at a constant velocity of 5 m/s for 10 seconds, so we can calculate the distance using the formula:
Distance = velocity * time
Distance = 5 m/s * 10 s = 50 meters
After the 10 seconds, the car accelerates at a rate of 2 m/s^2 for an additional 10 seconds. To find the distance during this time, we can use the formula for uniformly accelerated motion:
Distance = initial velocity * time + 0.5 * acceleration * time^2
During this time, the initial velocity is 5 m/s, the time is 10 s, and the acceleration is 2 m/s^2:
Distance = 5 m/s * 10 s + 0.5 * 2 m/s^2 * (10 s)^2 = 100 meters
Therefore, the total distance traveled by the car at the end of 20 seconds is:
Total Distance = 50 meters + 100 meters = 150 meters