A particle covers 30 m in the first 2 s and 150 m in the next 4 s while moving with constant acceleration. Its acceleration is:
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A particle covers 30 m in the first 2 s and 150 m in the next 4 s while moving with constant acceleration. Its acceleration is:

G1 Physics · Accepted Answer

In the first 2 s: 30 = 2u + 2a, so u + a = 15. In the first 6 s the displacement is 180 m: 180 = 6u + 18a, so u + 3a = 30. Subtracting, 2a = 15, hence a = 7.5 m s⁻².