A race car accelerates from rest to 100 m/s in 10 seconds. Calculate the car's acceleration and the distance it travels during this time.
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To calculate the car's acceleration, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given that the initial velocity is 0 m/s and the final velocity is 100 m/s, and the time is 10 seconds:
acceleration = (100 m/s - 0 m/s) / 10 s
acceleration = 100 m/s / 10 s
acceleration = 10 m/s^2
Therefore, the car's acceleration is 10 m/s^2.
To calculate the distance the car travels during this time, we can use the formula:
distance = initial velocity * time + (1/2) * acceleration * time^2
Given that the initial velocity is 0 m/s, the time is 10 seconds, and the acceleration is 10 m/s^2:
distance = 0 m/s * 10 s + (1/2) * 10 m/s^2 * (10 s)^2
distance = 0 m + (1/2) * 10 m/s^2 * 100 s^2
distance = 0 m + 500 m
distance = 500 m
Therefore, the car travels a distance of 500 meters during this time.
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