Question

For the space curves r1(t) = t, t^2, t^3 and r2(t) = 1/2t, 1/6t, 1/14t, describe the motion of two particles.

Answer 1

The two particles are moving in a circular path.

Step-by-step explanation:

To describe the motion of the two particles, we can analyze their position vectors r1(t) = t, t^2, t^3 and r2(t) = 1/2t, 1/6t, 1/14t. By comparing the values of t in these vectors, we can see that both particles are moving in a circular path. The values of t determine the coordinates of the particles at different points in time, resulting in a continuous motion along their respective circular paths.