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Find the uniform acceleration that causes a train's velocity to change from 24 m/s to 16 m/s in a 4s time interval.

a. 2 m/s²
b. -2 m²
c. 4 m/s²
d. -4 m/s²

User Dvex
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Final answer:

The acceleration that causes a train's velocity to change from 24 m/s to 16 m/s in a 4-second interval is -2 m/s², indicating a deceleration.

Step-by-step explanation:

The student asked to find the uniform acceleration that causes a train's velocity to change from 24 m/s to 16 m/s in a 4s time interval. To find the acceleration, we can use the formula for uniform acceleration, which is a = (vf - vi) / t, where vf is final velocity, vi is initial velocity, and t is the time taken for the change.

Plugging in the values we get: a = (16 m/s - 24 m/s) / 4 s = (-8 m/s) / 4 s = -2 m/s².

Therefore, the acceleration of the train is -2 m/s², which indicates a deceleration (a slowing down).

User Waldemar Lehner
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