Thex- andy-coordinates of a moving particle are given by the parametric equations below. Find the magnitude and direction of the velocity for the specific value of t. Sketch the curve and show the velocity and its components.

x=3t, y=4t, t=3

The magnitude is approximately:

Thex- andy-coordinates of a moving particle are given by the parametric equations below. Find the magnitude and direction of the acceleration for the specific value of t.

x=3t, y=2t, t=4

The magnitude is approximately:

The water from a fire hose follows a path described by y=4.0+0.6x0.20x² (units are inmeters). If v_x is constant at 5.0 m/s, find the resultant velocity at the point (3.0,4.0).

The magnitude is approximately ___ m/s.