At time t, the position of a particle is x(t) = 5 sin(2t) and y(t) = 4 cos(2t), with 0 t
Chapter 4, Problem 49(choose chapter or problem)
At time t, the position of a particle is x(t) = 5 sin(2t) and y(t) = 4 cos(2t), with 0 t < 2. (a) Graph the path of the particle for 0 t < 2, indicating the direction of motion. (b) Find the position and velocity of the particle when t = /4. (c) How many times does the particle pass through the point found in part (b)? (d) What does your answer to part (b) tell you about the direction of the motion relative to the coordinate axes when t = /4? (e) What is the speed of the particle at time t = ?
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