Kinematics under constant acceleration: identify the correct linear motion equations Assume one-dimensional motion with constant acceleration. Select the option that lists valid equations relating u, v, a, s, and t.
Mechanical Engineering
Engineering Mechanics
Difficulty: Easy
Choose an option
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Av = u + a t
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Bs = u t + (1/2) a t^2
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Cv^2 = u^2 + 2 a s
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DAll of these
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ENone of these
Answer
Correct Answer: All of these
Explanation
Given data
- Motion in a straight line with constant acceleration a.
- u = initial speed, v = final speed, s = displacement, t = time.
Concept/Approach
- Integrate a = dv/dt and use average velocity to obtain the standard kinematic relations.
Key formulas (all valid)v = u + a ts = u t + (1/2) a t^2v^2 = u^2 + 2 a s
Common pitfalls
- These hold only when acceleration is constant; they do not apply for variable a(t).
Final AnswerAll of these