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Throttle Drawer

Shape the acceleration so the car stops exactly on the finish line. Integrate twice, as a picture.

Physics · Class 11 · Non-uniform acceleration · 6 simulations. For JEE, NEET and your boards.

A picture of the Throttle Drawer simulation

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What you'll learn

  1. Go and stop: Two areas: a–t gives speed, v–t gives distance
  2. Cruise control: A trapezoid under v–t
  3. a = 2t: Integrate: area under a–t, then under v–t
  4. v = k√x: When v depends on x: a = v · dv/dx
  5. Drag brings it to rest: Drag: a = −kv and the stopping distance
  6. Race to the line: Farthest in a fixed time: full throttle, then full brake