QUESTION 3 (20 marks) W A -2 m k 20000- a) (12 marks) The package of weight W = 40 N is sliding to the right along the rough horizontal surface as shown in the diagram above. When the package is at A, its speed is v = 5 m/s. The spring of stiffness k = 200 N/m brings the package to rest. If the co-efficient of kinetic friction between the package and the surface is 0.3, determine the maximum force in the spring. Neglect the weight of the end plate that is attached to the spring. b) (8 marks) During braking, the speed of a car travelling along a straight highway varies as v = 16 - (x/4) m/s where x (in metres) is the distance travelled after the brakes are applied. Determine the acceleration of the car as a function of x.