Motion in a Straight Line

Physics · Class 11

Simulation · Physics · Class 11

Negative acceleration, faster car?

From the lesson Acceleration in Motion in a Straight Line. Change the values and watch what happens.

The idea behind it

NCERT § "Acceleration"

  • Dividing the change in velocity by the time interval gives the average acceleration; the instantaneous acceleration is a = dv/dt = d²x/dt².
  • Acceleration is the slope of the velocity-time (v-t) graph at a given instant; SI unit m s⁻².
  • The sign of acceleration is fixed by the chosen positive direction. A body speeds up when v and a have the same sign and slows down when they have opposite signs.
  • A body can have zero velocity and non-zero acceleration at the same instant, for example at the highest point of a vertical throw.
  • With uniform (constant) acceleration, plotting v against t gives a straight line; for uniform motion (a = 0) that line runs parallel to the time axis.
  • The x-t graph curves upward when a > 0 and downward when a < 0; for a = 0 it is a straight line.
  • The area under the v-t graph over an interval equals the displacement in that interval, with area below the time axis counted as negative.
Take the whole lessonAcceleration, with the notes, the story, a mind map, common mistakes and exam questions.Open

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