33. A bullet is shot horizontally from shoulder height (1.5 m) with an initial speed 200 m/s. (a) How much time elapses before the bullet hits the ground? (b) How far does the bullet travel horizontally?39' A projectile is launched at an angle of 30 and lands 2C! 3 later at the same height as it was launched. (a) What is the initial speed of the projectile? (b) What is the maximum altitude? (c) What is the range? (d} Calculate the displacement from the point of launch to the position on its trajectory at l5 s) 42. A man on a motorcycle traveling at a uniform speed of 10 m/s throws an empty can straight upward relative to himself with an initial speed of 3.0 m/s. Find the equation of the trajectory as seen by a police officer on the side of the road. Assume the initial position of the can is the point where it is thrown. Ignore air resistance.44. The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw with the same initial speed at all angles. HOW high does he throw the ball when he throws it straight upward? 52. Mt. Asama, Japan, is an active volcano. In 2009. an eruption threw solid volcanic rocks that landed 1 km horizontally from the crater. If the volcanic rocks were launched at an angle of 40 with respect to the horizontal and landed 900 m below the crater, (a) what would be their initial velocity and (b) what is their time of flight?57. In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?60. A flywheel is rotating at 30 rev/s. What is the total angle, in radians, through which a point on the flywheel rotates in 40 s?62. Cam Newton of the Carolina Panthers throws a perfect football spiral at 8.0 rev/s. The radius of a pro football is 8.5 cm at the middle of the short side. What is the centripetal acceleration of the laces on the football?64. A runner taking part in the 200111 dash must run around the end of a track that has a circular arc with a radius of curvature of 30.0 In. The runner starts the race at a constant speed. If she completes the ZOOm dash in 2.3.2. 3 and runs at constant speed throughout the race, what is her centripetal acceleration as she runs the curved portion of the track? 48. An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in 111:.le2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in [11st and multiples of gof this point at full rpm? (:1) What is the total distance traveled during the acceleration by a point 9.5 cm from the axis of rotation of the ultracentrifuge? 72. The cylinder head bolts on a car are to be tightened with a torque of 62.0 N-m. If a mechanic uses a wrench of length 20 cm, what perpendicular force must he exert an the end of the wrench to tighten a bolt correctly? 77. Calculate the torque about the z-axis that is out of the page at the origin in the following figure, given that F1 = 3 N, F2 = 2N, F3 = 3 N, F4 = 1.8 N. 30 F 2 2 m 3 m F1 O 2 m X F. FA 2091