Suppose that the position of one particle at time t is given by
and the position of a second particle is given by
(a)
To plot: The graph of particles and determine the number of points of intersection.
Given data:
The parametric equation for the horizontal position of first particle at time
The parametric equation for the vertical position of first particle at time
The range of
The parametric equation for the horizontal position of second particle at time
The parametric equation for the vertical position of second particle at time
The range of
Calculation:
The value of
Substitute
Substitute
The values of


















Substit
(b)
To find: The collision points
(c)
To plot: The graph when the second particle is given by
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