Instantaneous Acceleration in 2D Video Lessons

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Problem: Suppose the position vector for a particle is given as a function of time by r S1t2 5 x 1t 2i ^ 1 y1t 2 j ^ with x(t) 5 at 1 b and y(t) 5 ct2 1 d where a 5 1.00 m/s b 5 1.00 m c 5 0.125 m/s2 and d 5 1.00 m. (a) Calculate the average velocity during the time interval from t 5 2.00 s to t 5 4.00 s. (b) Determine the velocity and the speed at t 5 2.00 s.

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Suppose the position vector for a particle is given as a function of time by r S1t2 5 x 1t 2i ^ 1 y1t 2 j ^ with x(t) 5 at 1 b and y(t) 5 ct2 1 d where a 5 1.00 m/s b 5 1.00 m c 5 0.125 m/s2 and d 5 1.00 m. (a) Calculate the average velocity during the time interval from t 5 2.00 s to t 5 4.00 s. (b) Determine the velocity and the speed at t 5 2.00 s.

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