Given: Particle P travels within the x-y plane along a path given by y (x) = x^ 2/2 − 10x, where x and y are given in feet. The x-component of the position for P is changing at a constant rate of x'.
(a) Make a sketch of the path of particle P. (b) Determine the velocity and acceleration of P. (c) Show the velocity and acceleration vectors of P in your sketch of P’s path. (d) Determine the rate of change of speed of P.
Use the following parameters in your analysis: ˙x = 10 ft/s and x = 10 ft.



i hope u understood dear it is
very good conceptual question
Which is pure mathematical also uses concept of kinematics
First we are going to plot of y as a function of x and then we will use the given information that velociy is constant in x direction which simply implies that acceleration is 0 in x direction that is throughout velocity that is rate of change of displacement is 0.
Then simply go for dy/dt ie velociy in y direction ....
Thanks ...
Given: Particle P travels within the x-y plane along a path given by y (x) =...
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