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A car merging onto the highway accelerates uniformly from 16 m/s to 28 m/s in 4.38 seconds. What is the acceleration of the car?

User Leolo
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Final answer:

The car's acceleration is found using the formula for uniform acceleration, yielding an acceleration of approximately 2.74 m/s² as it goes from 16 m/s to 28 m/s in 4.38 seconds.

Step-by-step explanation:

The question asks about the acceleration of a car that uniformly accelerates from a velocity of 16 m/s to 28 m/s over a period of 4.38 seconds. To determine acceleration, we'd use the formula 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 the time taken.

Plugging in the values given in the question: a = (28 m/s - 16 m/s) / 4.38 s = 12 m/s / 4.38 s ≈ 2.74 m/s². Therefore, the acceleration of the car is approximately 2.74 m/s².

User Vivek Bansal
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