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Rate of change of velocity is acceleration, as in free falling of mass. Acceleration is gravitational acceleration that g = 9.8m/s^2
acceleration is taken negative because it is acting downward.
integrating the differential equation:
Rate in change in displacement is velocity:
(this is function of displacement from initial position with respect to time)
when rock hit the ground:
s = 0
velocity for the same:
(negative because direction of velocity is downward)
Position function graph. Impact at t = 5.35second. then velocity is zero shown till t = 7 second.
(quadratic function before impact), no motion after impact
Velocity function graph: (linear function)
Velocity become zero after impact
Acceleration function graph (constant function)
Acceleration become zero after impact
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