A particle covers 8 m in the first second and 20 m in the third second. Its acceleration is constant. The distance covered in the fifth second is:
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A particle covers 8 m in the first second and 20 m in the third second. Its acceleration is constant. The distance covered in the fifth second is:

G1 Physics · Accepted Answer

s₁ = u + a/2 = 8 and s₃ = u + 5a/2 = 20. Subtracting gives 2a = 12, so a = 6 m s⁻². Then s₅ = u + 9a/2. Since u = 8 − 3 = 5, s₅ = 5 + 27 = 32 m.