Estimate the velocity vector and speed at given time

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Reference no: EM131015477

The table below gives x and y coordinates of a particle in the plane at time t.

t 0 0.5 1 1.5 2 2.5 3 3.5 4
x 5 4 5 7 10 12 13 12 11
y 5 8 10 11 10 7 6 7 9

Assuming that the particle moves smoothly and that the points given show all the major features of the motion, estimate the following quantities:

a. The velocity vector and speed at time t=0.5.

b. Any times when the particle is moving parallel to the y-axis.

c. Any times when the particle has come to a stop.

 

Reference no: EM131015477

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