The motion of a particle along a fixed path is defined by the parametric equations r = b, = ct and z = dt

The motion of a particle along a fixed path is defined by the parametric equations r = b, θ = ct and z = dt². Determine the unit vector that specifies the direction of the binormal axis to the osculating plane with respect to a set of fixed x, y, z coordinate axes when t = t₁. Formulate the particle’s velocity v_p and acceleration a_p in terms of their i, j, k components. Note that x = rcos (θ) and y = r sin(θ). The binormal is parallel to vp × ap. Why? Given:

b = 8 ft c = 4 rad S = 67/202 S 9 P t = 2 s