The graphs below show the distance a car has traveled as a function of time. For

Question

The graphs below show the distance a car has traveled as a function of time. For each description of the car's motion, enter the letter of the matching graph below,

  1. Moving Forward at a Constant Speed = ?
  2. Moving Forward at Increasing Speed = ?
  3. Moving Forward at Decreasing Speed = ?

The graphs below show the distance a car has traveled as a function of time. For each description of the car's motion, enter the letter of the matching graph below, 1. Moving Forward at a Constant Speed = ? 2. Moving Forward at Increasing Speed = ? 3. Moving Forward at Decreasing Speed = ?

Explanation / Answer

Check slope = m = |ds(t)/dt|.(which is actually equal to the speed)

If m is increasing(that is, the curve is tending to the vertical after some time) then the speed is increasing

If m is constant(that is, a straight line) then the speed is constant.

If m is decreasing(that is, the curve is tending to the horizontal after some time) then the speed is decreasing

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