A Vande Bharat express train accelerating out of New Delhi station has an acceleration a(t) = 2 m/s². If its initial velocity is 10 m/s, what is its velocity function v(t)?
A Vande Bharat express train accelerating out of New Delhi station has an acceleration a(t) = 2 m/s². If its initial velocity is 10 m/s, what is its velocity function v(t)?
- A. 2t + 10
- B. t² + 10
- C. 2t
- D. t² + 10t
Answer: A) 2t + 10
Explanation: v(t) = ∫ a(t) dt = ∫ 2 dt = 2t + C. v(0) = 10 implies C = 10.
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