AIPMT PRELIMS 2010 Physics Velocity and Acceleration MCQ Question with Solution

A particle has initial velocity (3î + 4ĵ) and has acceleration (0.4î + 0.3ĵ). Its speed after 10 s is

A

10 units

B

7 units

C

7√2 units

D

8.5 units

Correct Answer

Option C

Detailed Explanation

The final velocity is calculated using v̅ = u̅ + a̅t. Substituting the given values, v̅ = (3 + 0.4×10)î + (4 + 0.3×10)ĵ = 7î + 7ĵ. The speed is the magnitude of v̅, which is √(7² + 7²) = 7√2 units.

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