A body moving with uniform acceleration describes 40 m in the first 5 s and 70 m in the next 5 s . Its initial velocity will be

Question

A body moving with uniform acceleration describes 40 m in the first 5 s and 70 m in the next 5 s . Its initial velocity will be, 4 m s - 1, 2.5 m s - 1, 5 m s - 1, 11 m s - 1

MARKS App · Accepted Answer

s 1 = 40 m , s 2 = 70 m ∆ t 1 = 5 s , ∆ t 2 = 5 s 40 = u ∆ t 1 + 1 2 a ∆ t 1 2 = 5 u + 1 2 a × 25 ⇒ 2 u + 5 a = 16 110 = u ∆ t 1 + ∆ t 2 + 1 2 a ∆ t 1 + ∆ t 2 2 110 = 10 u + 1 2 a × 100 ⇒ u + 5 a = 11 u = 5 m s - 1

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