STANDARD Physics Average Velocity MCQ Question
The position of an object moving along x-axis is given by x = a + bt², where a = 8.5 m and b = 2.5 m s⁻² and t is measured in seconds. The average velocity of the object between t = 2 s and t = 4 s is
5 m s⁻¹
10 m s⁻¹
15 m s⁻¹
20 m s⁻¹
Correct Answer
Detailed Explanation
The average velocity is given by (x₂ - x₁) / (t₂ - t₁). Substituting the values, x at t = 4 s is a + b(4)² = 8.5 + 40 = 48.5 m, and x at t = 2 s is a + b(2)² = 8.5 + 10 = 18.5 m. Thus, average velocity = (48.5 - 18.5) / (4 - 2) = 30 / 2 = 15 m s⁻¹.
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