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A dragster accelerates uniformly from rest to a speed of 90 m/s over a distance of 400 m. What is the average acceleration over that distance?

User SyRenity
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Final answer:

The average acceleration of a dragster that accelerates uniformly from rest to 90 m/s over a distance of 400 m is 10.125 m/s².

Step-by-step explanation:

To calculate the average acceleration of a dragster that accelerates uniformly from rest to a speed of 90 m/s over a distance of 400 m, we can use the kinematic equation for motion without time:

v2 = u2 + 2as

Where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. Since the dragster starts from rest, u = 0, and we can solve for a as follows:

902 = 0 + 2 · a · 400

8100 = 800a

a = 8100 / 800 = 10.125 m/s2

The average acceleration of the dragster over the 400 m distance is 10.125 m/s2.

User Daniel Barbalace
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