A 0.251 kg particle moves in an xy plane according to x(t) = - 18.0 +2.00 t-3.00 t3 and y(t) = 22.0+ 7.00 t - 10.0 t², with x and y in meters and t in seconds. At t = 1.58 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?

A 0.251 kg particle moves in an xy plane according to x(t) = - 18.0 +2.00 t-3.00 t3 and y(t) = 22.0+ 7.00 t - 10.0 t², with x and y in meters and t in seconds. At t = 1.58 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of the x-axis) of the net force on the particle, and (c) what is the angle of the particle's direction of travel?