46) Consider two vectors. Vector A has a magnitude of 5 units and is in a direction 36.9 degrees from the horizontal (from x axis towardsy axis). Vector B has a magnitude of 2 units and IS in a direction 30 degrees counterclockwnse from the y axis. Find the components, magnitude, and direction ofA+B. (vectors) 47) Standing inside a building we notice something fall past the window. We measure that it takes 0.4 s to go from the top ofthe window to the bottom of the window. The window is 2m tall, and the bottom of the window is 10m above the ground. With what speed does the object hit the ground? (1D kinematics) 48) A baseball player hits a ball 1m above the ground a speed of 100 m/s and at angle 30 degrees above the horizontal. The fence IS 150 m away and is 3m tall. Does the ball go over the fence? It so by how much? Why is this an unrealistic example? (27D kinematics) 49) We want to drive a car horizontally off a 30m high cliff and land on a platform below. The car has a maximum speed of 200 km/hr and the platform is 200m from the edge of the cliff. Can we make it? If not, what speed would be required in order to land on the platform? (2-D kinematics) 50) A swimmer can swim 3 km/hr in still water, The swimmer wants to swim directly across a river of width 50m. The river has a current of 2 km/hr. What direction should the sWImmer head in order to end up directly across the river, and how long does it take? (Relative veloaty) 51) The speed of an airplane in still air is 300 km/hr. The plane flies with a northerly heading. There is a wind that is 50 km/hr NE. What is the final velocity ofthe plan relative to the ground? After an hour, the pilot wants to return home. What heading should be used, and how long will the return trip take? (Relative velocity) 52) A block sits of mass 40 kg sits on a frictionless surface. It is pulled bya 15N force and a angle 30 degress above the horizontal, What is the acceleration of the block? 53) A 2kg block slides down a ramp without friction. The ramp has an angle of 30 degrees, How far does the block slide in the first second? In the 2'\"1 second? 54) A person With mass 40 kg IS on an elevator which has a scale on the floor. The elevator starts it's motion and the scale reads 27.7 kg. Describe the motion of the elevator (magnitude and direction]. If the elevator had the same acceleration, but in the other direction, what would the scale read? 55) Two masses (12 kg _ce of 15 N Is applied to nne nfthi: hlnrk What K the arrplpratinn nfthp custom {magnitude and dlrertinn) and