A spinning object is attached to 5 meter long string whose other end is held in place at (-4, 6). The parametric equations of this circular orbit are
x (t) = 5 cos (3t) - 4
y(t) = 5 sin (3t) + 6
Where x and y are measured in meters and t in seconds.
a. At t = 2.5 seconds, the string is cut and the object moves in a straight line in the direction of its tangent vector. Write the new parametric equations of motion as this object moves along the tangent line starting at t = 2.5 seconds. Be accurate to two decimal digits.
b. What are the x and y coordinates of this object 2 seconds after the string is cut? Be accurate to one decimal digit and include units.