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Two-Stage Motion

Part of the Mechanics section of Coddy's Physics journey. Lesson 40 of 94.

Many motions come in stages: a push and then a slide. Each stage has its own forces, so its own constant acceleration.

v1 = v0 + a1 t1, v = v1 + a2 t

The velocity at the end of stage 1 is the starting velocity of stage 2.

Velocity against time for a box: the velocity rises in a straight line from 0 to 12 metres per second during the first 3 seconds, then falls in a straight line to 0 at 9 seconds; a dotted line at 3 seconds separates stage 1 from stage 2

Each stage is a straight line with its own slope; they meet at the hand-over velocity.

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Challenge

A 50 kg sled starts from rest. A rope pulls it forward with 120 N for 5 s while friction holds it back with 20 N; then the rope is let go. Taking forward as positive, find the time t_2 the sled slides before it stops.

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