The position coordinate of a particle which is confined to move along a straight

Question

The position coordinate of a particle which is confined to move along a straight line (say, X-axis) is given by x=(2?3t+0.5t^2)e^(?0.25t), where x is measured in meters from a convenient origin and t is in seconds. Figure below depicts the x-t graph of the particle

The position coordinate of a particle which is confined to move along a straight line (say, X-axis) is given by x=(2?3t+0.5t^2)e^(?0.25t), where x is measured in meters from a convenient origin and t is in seconds. Figure below depicts the x-t graph of the particle's motion. Compute the net displacement of the particle from t = 1 sec to t = 10 sec. What are the average speed and the average velocity of the particle from t = 0 sec to t = 10 sec? What is the instantaneous velocity of the particle at time t = 5 sec? What is the instantaneous speed of the particle at t = 5 sec? What is the average acceleration of the particle from t = 0 sec to t = 10 sec? What is the instantaneous acceleration of the particle at t = 7 sec?

Explanation / Answer

???x(t) = 2t

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