Kinematics of a Particle
Note that, we have indicated the first derivative by putting a dot on the variable.
Also,
where double dot indicates the double differentiation with respect to time.
If the acceleration is given as a function of time, velocity and displacement can be found by integration.
Example:
A particle moves in a straight line from rest with an acceleration of t, where t is the time. In 5 seconds, where will the particle be from the starting point?
Solution:
Here, the motion is one dimensional.
Kinematics of a Particle |
Note that, we have indicated the first derivative by putting a dot on the variable. Also,
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