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# Physical Dynamics

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Can you please do these questions and show all work?

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https://brainmass.com/physics/velocity-time-graphs/physical-dynamics-423018

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1.

Acceleration is the rate of change of velocity. At any given instant, it is the slope of the velocity - time graph. As the acceleration - time graph for 0 < t < 1 sec shows constant acceleration of 10 m/s^2, the slope of the v - t graph in this duration must be a straight line with slope 10 m/s^2. For the same reason, slope of v - t graph in the duration 1 < t < 2 sec must be a straight line with slope - 10 m/s^2. During 2 < t < 4, the v - t graph has 0 slope.

Velocity at a given instant is the slope of the displacement - time (s - t) graph at that instant. Further, displacement between two time instants is the area under the v - t graph between the given time instants. Area under v - t graph for different time durations are as follows:

0 < t < 1 : ½ x 1 sec x 10 m/sec = 5 m

1 < t < 2 : ½ x 1 sec x 10 m/sec = 5 m

2 < t < 4 : 0