2. For time t2 0, a particle moves in the xy-plane with position (x(t), y(t)) and velocity vector (a- 1), sin( At time t = 0, the position of the particle is (-2, 5). (a) Find the speed of the particle at time t = 1.2. Find the acceleration vector of the particle at time t= 1.2. (b) Find the total distance traveled by the particle over the time interval 0SIS 1.2. (c) Find the coordinates of the point at which the particle is farthest to the left for t 2 0. Explain why there is no point at which the particle is farthest to the right for t2 0.
2. For time t2 0, a particle moves in the xy-plane with position (x(t), y(t)) and velocity vector (a- 1), sin( At time t = 0, the position of the particle is (-2, 5). (a) Find the speed of the particle at time t = 1.2. Find the acceleration vector of the particle at time t= 1.2. (b) Find the total distance traveled by the particle over the time interval 0SIS 1.2. (c) Find the coordinates of the point at which the particle is farthest to the left for t 2 0. Explain why there is no point at which the particle is farthest to the right for t2 0.
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Transcribed Image Text:2. For time t 2 0, a particle moves in the xy-plane with position (x(t), y(t)) and velocity vector
• Sin
At time t 0, the position of the particle is (-2, 5).
(a) Find the speed of the particle at time t= 1.2. Find the acceleration vector of the particle at time t = 1.2.
(b) Find the total distance traveled by the particle over the time interval 0SIS 1.2.
(c) Find the coordinates of the point at which the particle is farthest to the left for t 2 0. Explain why there is
no point at which the particle is farthest to the right fort2 0.
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