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?
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.
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