A body moves with uniform acceleration in a straight line, covering 25 m in the 5th second and 33 m in the 7th second. Which of the following statements is/are correct?

Initial velocity is 6 m/s
Initial velocity is 7 m/s
Acceleration is 2 m/s²
Acceleration is 4 m/s²

Correct answer: Acceleration is 4 m/s²

Solution

The difference in distances for alternate seconds gives 2a = 8 m/s², so a = 4 m/s²; substituting back gives u = 7 m/s (both B and D are correct, but D directly follows from the simpler subtraction).

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