A point particle of massm=1.6kg moves according to the position function:r(t) =xt^ai+yt^bj+zt^ck, wheretdenotes time andx,y,z,a,b, andcare constants such that the exponents are positive integers and the position function has the dimension of length.

A We can write the particle's velocity function in the form v(t) = nt^di + ot^ej + pt^gk. Enter an expression for n in terms of x, y, z, a, b, and c.

B Here is a set of parameter values for the motion of the particle: m = 1.6 kg, x = 1.7 m/s³, y = 2.5 m/s³, z = 0.15 m/s¹, a = 3, b = 3, c = 1. Calculate the x-component of the particle's angular momentum, in units of kgm²/s, about the origin at time t = 1 s.

C Use the same set of parameter values (m = 1.6 kg, x = 1.7 m/s³, y = 2.5 m/s³, z = 0.15 m/s¹, a = 3, b = 3, c = 1) to calculate the y-component of the particle's angular momentum, in units of kgm²/s, about the origin at time t = 1 s.