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A roller coaster accelerates from an initial velocity of 6.0 m/s to a final velocity of 70 m/s over 4 seconds.  What's the acceleration?

Question

A roller coaster accelerates from an initial velocity of 6.0 m/s to a final velocity of 70 m/s over 4 seconds.  What's the acceleration?

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Solution

To find the acceleration, we can use the formula for acceleration which is:

a = (v_f - v_i) / t

where: a is acceleration, v_f is the final velocity, v_i is the initial velocity, and t is time.

Given in the problem: v_f = 70 m/s, v_i = 6.0 m/s, and t = 4 seconds.

Substituting these values into the formula, we get:

a = (70 m/s - 6.0 m/s) / 4 seconds = 64 m/s / 4 seconds = 16 m/s².

So, the acceleration of the roller coaster is 16 m/s².

This problem has been solved

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