The position vector r of a particle at time t is given by -bt2 where a, b and c are constants. Obtain the velocity at time t = 0 and show that its acceleration at any time has the constant magnitude va? + b. Show that its path is given in a rectangular cartesian coordinates by the equation (ay – br)2 = 2car.
The position vector r of a particle at time t is given by -bt2 where a, b and c are constants. Obtain the velocity at time t = 0 and show that its acceleration at any time has the constant magnitude va? + b. Show that its path is given in a rectangular cartesian coordinates by the equation (ay – br)2 = 2car.
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Transcribed Image Text:The position vector r of a particle at time t is given by
r=D at2i + (배2 + ct)j.
where a, b and c are constants. Obtain the velocity at time t = 0 and show
that its acceleration at any time has the constant magnitude va2 + b.
Show that its path is given in a rectangular cartesian coordinates by the
equation
(ay – br)? = 2c2²ar.
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