Two boats leave the shore at the same time and travel in the directions shown. Given that va = 5 m/s and vB = 8 m/s and boat A is increasing it speed at 3m/s' while boat B is decreasing its speed at the rate of 2m/s². a. Find the velocity vector for boat A and B. [2 mark] b. Find the relative velocity vector of boat B with respect to boat A together with its magnitude and direction angle. [3 marks] c. Find the acceleration vector for boat A and boat B [2 marks]. d. Find the relative acceleration vector of boat A with respect to boat B together with its magnitude direction angle. [3 marks]. VB В \30 35°

A missile is moving along a curved path, AB, from A towards B. At A the missile's velocity is 100 m/sec; its acceleration along the path depends on its distance, x, from A according to the relationship a, What is the missile's velocity when it reaches B, which is x = 150m from A? If the radius of curvature of the path is 300 m at B, what is the missile's resultant acceleration (a) 200 x, where x is measured along the path. at B? (b) A ship is moving relative to the water and you are given the following velocities: Velocity Magnitude Direction (degrees) (kn/hour) Absolute water velocity (tide) Ship's velocity relative to water 120 20 90 The directions are measured clockwise from due north (i.e. due east is 90°). What is the ship's absolute velocity (magnitude and direction)?