A car accelerates from rest to a speed of 20 m/s in 10 seconds. What is the distance covered by the car during this time?

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Q: A car accelerates from rest to a speed of 20 m/s in 10 seconds. What is the distance covered by the car during this time?

Solution: Using the formula d = ut + 0.5at², where u = 0, a = (20 m/s) / 10 s = 2 m/s², we get d = 0 + 0.5 * 2 * (10)² = 100 m.

Steps: 8

Step 1: Identify the initial speed (u) of the car. Since the car starts from rest, u = 0 m/s.
Step 2: Identify the final speed (v) of the car. The car accelerates to a speed of 20 m/s.
Step 3: Identify the time (t) taken to reach that speed. The time given is 10 seconds.
Step 4: Calculate the acceleration (a) of the car using the formula a = (v - u) / t. Here, a = (20 m/s - 0 m/s) / 10 s = 2 m/s².
Step 5: Use the formula for distance (d) covered during acceleration: d = ut + 0.5at². Substitute the values: d = 0 + 0.5 * 2 m/s² * (10 s)².
Step 6: Calculate (10 s)², which is 100 s².
Step 7: Multiply 0.5 * 2 m/s² * 100 s² = 100 m.
Step 8: Conclude that the distance covered by the car during this time is 100 meters.