Motion with time dependent acceleration
Given an object which starts from position x=0 and moves along a straight line with position given by
a. The velocity is given by the derivative of the position.
b. The acceleration is given by the derivative of the velocity.
c. The average velocity must be calculated from the displacement divided by the time.
The average velocity for the first 3 seconds of motion is given by
so the average velocity is -25 m/s. You can check to see that the constant acceleration expression for average velocity gives the erroneous value -22.5 m/s.
d. Motion graphs.
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