The vector components of the position of a particle moving in the xy plane as a function of time are ~x = bt2ˆi and ~y = ct3ˆj, where b and c are positive constants with the appropriate dimensions such that the components will be in meters. (a) At what time is the angle between the particle’s velocity and the x−axis equal to 45◦ ? [4] (b) Determine the velocity and acceleration of the particle in unit vector notation in terms of b and c when the velocity is directed at an angle of 45◦ relative to the x−axis
The vector components of the position of a particle moving in the xy plane as a function of time are ~x = bt2ˆi and ~y = ct3ˆj, where b and c are positive constants with the appropriate dimensions such that the components will be in meters. (a) At what time is the angle between the particle’s velocity and the x−axis equal to 45◦ ? [4] (b) Determine the velocity and acceleration of the particle in unit vector notation in terms of b and c when the velocity is directed at an angle of 45◦ relative to the x−axis
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The vector components of the position of a particle moving in the xy plane as a function of time are
~x = bt2ˆi and ~y = ct3ˆj, where b and c are positive constants with the appropriate dimensions such that
the components will be in meters.
(a) At what time is the angle between the particle’s velocity and the x−axis equal to 45◦
? [4]
(b) Determine the velocity and acceleration of the particle in unit vector notation in terms of b and
c when the velocity is directed at an angle of 45◦
relative to the x−axis
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