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Two-Stage Motion

Part of the Mechanics section of Coddy's Physics journey. Lesson 43 of 97.

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

v1=v0+a1t1,v=v1+a2tv_1 = v_0 + a_1 t_1, \quad v = v_1 + a_2 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 kg50\ \mathrm{kg} sled starts from rest on level snow. A rope pulls it forward, to the right, with 120 N120\ \mathrm{N} for 5 s5\ \mathrm{s} while kinetic friction holds it back with 20 N20\ \mathrm{N}; then the rope is let go. Taking forward as positive, find the time t2\relax t_{2} the sled slides before it stops.

Try it yourself

Physics diagram: crate, rope, vec; arrows v

Solve for t2t_{2}

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This lesson includes a short quiz. Start the lesson to answer it and track your progress.

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