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An automobile was moving at 15 m/s north and accelerated at 2 m/s^2 for 10 s. Which of the following was its final velocity?

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Final answer:

In this case, the final velocity of the automobile is 35 m/s north.

The answer is option ⇒D

Step-by-step explanation:

To find the final velocity of the automobile, we can use the formula for uniformly accelerated motion:

Final velocity (v) = Initial velocity (u) + (acceleration * time)

Given:

  • Initial velocity (u) = 15 m/s north
  • Acceleration (a) = 2 m/s²
  • Time (t) = 10 s

1. Determine the change in velocity:

The change in velocity is given by the product of acceleration and time:

  • Change in velocity (Δv) = acceleration * time
  • Change in velocity (Δv) = 2 m/s² * 10 s = 20 m/s

2. Calculate the final velocity:

To find the final velocity, we add the change in velocity to the initial velocity:

  • Final velocity (v) = Initial velocity (u) + Change in velocity (Δv)
  • Final velocity (v) = 15 m/s + 20 m/s = 35 m/s

Therefore, the final velocity of the automobile is 35 m/s north.

The answer is option ⇒D

Your question is incomplete, but most probably the full question was:

An automobile was moving at 15 m/s and accelerated at 2 m/s² for 10 s. Which of the following was its final velocity?

A. 17 m/s

B. 25 m/s

C. 27 m/s

D. 35 m/s