Question

At the instant shown, the car at A is traveling 10 m/s at 45^° SE around the curve with radius of curvature of 100 m, while increasing its speed at 8 m/s sq.  The car at B is traveling at 18.5 m/s along the straightway eastward and increasing its speed at 5 m/s sq.  Determine the relative velocity and relative acceleration of B with respect to A at this instant. The normal component of acceleration for car A makes a 45^° with the horizontal axis at the center of curvature. Show the proper units in all cases.

1-Determine the relative velocity, in vector form, of B with respect to A

2-Determine the direction (angle and sense) of the relative velocity of B with respect to A. Indicate the sense as SW (southwesterly), SE (southeasterly), NW (northwesterly) or NE (northeasterly).

3-Determine the relative acceleration, in vector form, of B with respect to A

4-Determine the direction (angle and sense) of the relative acceleration of B with respect to A. Indicate the sense as SW (southwesterly), SE (southeasterly), NW (northwesterly) or NE (northeasterly).

5-Determine the magnitude of the relative acceleration of B with respect to A.  

Answer 1