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Car B moves along a straight road at a constant 20 m/s. At the…

Question

Car B moves along a straight road at a constant 20 m/s. At the instant B passes a stationary car A, car A starts from rest and accelerates uniformly at 2 m/s^2 in the same direction. Find the distance (in metres) car A has travelled when it first draws level with car B again.

✓ Verified answer: 400checked by our engine — not a guess

Step-by-step solution

They meet when displacements are equal: (1/2)(2)t^2 = 20 t, giving t^2 = 20t, so t = 20 s (t = 0 is the start).

Distance travelled by A = (1/2)(2)(20)^2 = 400 m.

Final answer400

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