The position r of a particle moving in the xy plane is given by r = 2ti
Question:
The position r of a particle moving in the xy plane is given by r = 2ti + 2 sin [(π/4rad/s) t] j, where r is in meters and r is in seconds.
(a) Calculate the x and y components of the particle's position at t = 0, 1.0, 2.0, 3.0, and 4.0 s and sketch the particle's path in the xy plane for the interval 0 < t < 4.0 s.
(b) Calculate the components of the particle's velocity at t = 1.0, 2.0, and 3.0 s. Show that the velocity is tangent to the path of the particle and in the direction the particle is moving at each time by drawing the velocity vectors on the plot of the particle's path in part (a).
(c) Calculate the components of the particle's acceleration at t = 1.0, 2.0, and 3.0 s.
Step by Step Answer:
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick