A radius vector of a point A relative to the origin varies with time t as 
= at 
– bt 2 
, where a and b are positive constants and 
and 
are the unit vectors of the x and y axes. Find:
(i) The equation of the point's trajectory y (x); plot this function
(ii) The time dependence of the velocity v and acceleration a vectors as well as of the moduli of these quantities.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
As
So, 
and therefore 
Which is Eq. of a parabola, whose graph is shown in the Fig.
As 
… ..(1)
So,
Diff. Eq. (1) w.r.t. time, we get
So, 
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