For each problem below, the magnitude of the horizontal and vertical components of vector V are given. In each case find the magnitude of V. 27. Vx=30, |Vy] = 40 28. |Vx=8, |V|= 6 29. [Vx=35.0, |Vy] = 26.0 30. |Vx=45.0, [Vyl = 15.0 31. [Vx=4.5, |V| = 3.8 32. |V|=2.2, Vy = 5.8 33. Velocity A bullet is fired into the air with an initial velocity of 1,200 feet per second at an angle of 45 from the horizontal. Find the magnitude of the horizontal and vertical components of the velocity vector. 34. Velocity A bullet is fired into the air with an initial velocity of 1,800 feet per second at an angle of 60 from the horizontal. Find the horizontal and vertical components of the velocity. 35. Velocity Use the results of Problem 33 to find the horizontal distance traveled by the bullet in 3 seconds. (Neglect the resistance of air on the bullet.) 36. Velocity Use the results of Problem 34 to find the horizontal distance traveled by the bullet in 2 seconds. 37. Velocity An arrow is shot into the air so that its horizontal velocity is 35.0 feet per second and its vertical velocity is 15.0 feet per second. Find the velocity of the arrow. 38. Velocity The horizontal and vertical components of the velocity of an arrow shot into the air are 15.0 feet per second and 25.0 feet per second, respectively. Find the velocity of the arrow. 39. Bearing A ship travels for 135 kilometers on a course with bearing 138. How far east and how far south has it traveled? 40. Bearing A plane flies for 3 hours at 230 kilometers per hour on a course with bearing 215. How far west and how far south does it travel in the 3 hours? 41. Bearing A plane travels for 175 miles on a course with bearing 18 and then changes its course to 49 and travels another 120 miles. Find the total distance traveled north and the total distance traveled east.