The figure shows the velocity as a function of time for an object with mass 10 kg being pushed along a frictionless surface by external force. At $t = 3 s$ , the force stops pushing and the object moves freely. It then collides head-on and sticks to another object of mass 25 kg.

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From the graph: 0 → 15 m / s in 3 s , free motion at 15 m/s, then 35 kg combined at 10 m/s. F = m Δ t Δ v ​ = 10 × 3 15 ​ = 50 N - (A) true. 10 ( 15 ) + 25 u = 35 ( 10 ) ⇒ u = 8 m / s , same direction - (C) true, (B) and (D) false. Answer: (A), (C)

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