Analyzing Particle Motion: Velocity, Acceleration, and Trajectory

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In summary, analyzing particle motion involves examining the velocity, acceleration, and trajectory of a moving particle. Velocity is the rate of change of an object's position over time, while acceleration is the rate of change of an object's velocity over time. Trajectory refers to the path that a particle takes as it moves through space. By studying these factors, scientists and engineers can better understand the movement and behavior of particles, which has applications in fields such as physics, engineering, and medicine.
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Fia Ismi Nur Alfiah
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The position of a particle as a function of time is given by
r(t) = i(1—e^-kt ) + je^kt
where k is a positive constant. Find the velocity and acceleration of the particle. Sketch its trajectory.

would you like to help me to find the solution?
 
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