Question: A radius vector of a point A relative to the origin varies with time t as r = ati - bt2j, where a and b

A radius vector of a point A relative to the origin varies with time t as r = ati - bt2j, where a and b are positive constants, and i and j are the unit vectors of the x and y axes. Find:
(a) The equation of the point's trajectory y (x); plot this function;
(b) The time dependence of the velocity v and acceleration w vectors, as well as of the modulus of these quantities;
(c) The time dependence of the angle a between the vectors w and v;
(d) The mean velocity vector averaged over the first t seconds of motion, and the modulus of this vector.

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a As So and therefore r atibtj x at y bi 2 bx a y 1 0 which is Eq of a p... View full answer

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