Acceleration Vector from Position Functions
The position of a particle moving in the xy-plane is given by the functions $$x(t) = 3t^2$$ and $$y(t) = 4t - 5t^2$$. What is the direction of the particle’s acceleration vector at $$t = 2$$ s, measured counterclockwise from the positive $$x$$-axis?
A
Directly opposite to the velocity vector
B
Perpendicular to the velocity vector
C
At an angle of 301° measured counterclockwise from +x
D
Directly toward the origin
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