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The position ...

Question

The position of a particle is given by

Where t is in seconds and the coefficients have the proper units for r to be in metres.

(a) Find the v and a of the particle?

(b) What is the magnitude and direction of velocity of the particle at t = 2.0 s?

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Solution

(a)

The position of the particle is given by:

Velocity , of the particle is given as:

Acceleration , of the particle is given as:

(b) 8.54 m/s, 69.45° below the x-axis

The magnitude of velocity is given by:

The negative sign indicates that the direction of velocity is below the x-axis.

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