Chapter 3 To do -‐2 Dimensional mo5on (Constant velocity or constant accelera5on) -‐Components of mo5on -‐Projec5le mo5on (Constant velocity in x direc5on; constant accelera5on due to gravity in the y direc5on) Mo5on in 2 d is 2 separate 1 d problems Do problem in x direc5on x m vx m/s t s a m/s2 start x m end Do problem in y direc5on x m vx m/s t s a m/s2 xi xf start yi end yf vx m/s t s a m/s2 •  A dolphin leaps out of the water at an angle of 60° above the horizontal. The horizontal component of the dolphin's velocity is 7.7 m/s. Find the magnitude of the ver5cal component of the velocity. Find the speed. •  You are in a boat going at 5 m/s west. At the same 5me the wind is blowing 3 m/s south. What is your velocity. What direc5on are you going? How far to you go in 10 minutes. 1 2 3 4 x m xi xf yi yf vx m/s t s a m/s2 •  You are in a boat going at 5 m/s west. You turn on your motor and accelerate at 0.25 m/s2 for 10 s. At the same 5me the wind is blowing 3 m/s south. What is your final velocity. What direc5on are you going? 1 2 3 4 x m xi xf yi yf vx m/s t s a m/s2 The airplane is moving horizontally with a constant velocity of +115 m/s at an altitude of 1050m. Determine the time required for the Care package to hit the ground. 1 2 3 4 Suppose you are driving a convertible with the top down. The car is moving to the right at constant velocity. You point a rifle straight up into the air and fire it. In the absence of air resistance, where would the bullet land – behind you, ahead of you, or in the barrel of the rifle? •  A golf ball rolls off a horizontal cliff with an ini5al speed of 11.4. The ball falls a ver5cal distance of 15.5 m into a lake below. •  (a) How much 5me does the ball spend in the air? •  (b) What is the speed v of the ball just before it strikes the water? X m xi xf yi yf Vx m/s T s a m/s2 •  A ball is thrown upward at a speed at an angle of 52° above the horizontal. It reaches a maximum height of 7.5 m. How high would this ball go if it were thrown straight upward at speed ? X m xi xf yi yf Vx m/s T s a m/s2 •  A golfer, standing on a fairway, hits a shot to a green that is elevated 5.50 m above the point where she is standing. If the ball leaves her club with a velocity of 46.0 m/s at an angle of 35.0° above the ground, find the 5me that the ball is in the air before it hits the green. X m xi xf yi yf Vx m/s T s a m/s2