Physics Projectile Motion at an Angle Name: ______________________________________________ 1. A cannon fires a shell with an initial velocity of 800 m/s at an angle of 30o above the horizontal. a. Find the components of the initial velocity (vix, viy) b. For how long is the shell in the air? c. What is the range of the shell? d. What is the highest point the shell reaches? e. What is the velocity of the shell after 13 seconds? 2. Peyton Manning throws a pass downfield with an initial velocity of 40 m/s at an angle of 50o above the horizontal. a. Find the components of the initial velocity. b. For how long is the ball in the air? c. What is the range of the ball? d. What is the highest point the ball reaches? e. What is the velocity of the ball after 3 seconds? f. Oh no! The pass is deflected after 5.5 seconds!! What is the velocity of the ball as it hits the defender’s hand? 3. A girl tosses her teddy bear to her brother with an initial velocity of 0.92 m/s at an angle of 80o. a. Find the components of the initial velocity. b. For how long is the teddy bear in the air? c. What is the range of the bear? d. What is the highest point the bear reaches? e. What is the velocity of the bear after 0.1 second? 4. Justin Upton throws a baseball with a horizontal component of velocity 25 m/s. It takes 3.00 s to come back to its original height. Calculate its horizontal range, its initial vertical component of velocity, and its initial angle of projection. 5. A diver jumps UP off a pier at an angle of 25o with an initial velocity of 3.2 m/s. How far from the pier will the diver hit the water (at the same level as the pier)? Answers: 1) a) vx = 693m/s, viy=400m/s b) 81.6 s c) 56,500m d) 8,160m e) v = 745 m/s at 21.5o above horiz 2)a) vx = 25.7m/s, viy = 30.6m/s b) 6.24s c) 160 m d) 47.8 m e) v = 25.7m/s at 2.67o above horiz f) v = 34.7 m/s at 42.2o below horiz 3)a) vx = 0.160m/s, viy = 0.906m/s b) 0.184s c) 0.0294m d) 0.0419m e) v = 0.176m/s at 24.8o below horiz 4) 75m, 14.7 m/s, 30.5o 5) 0.8 m
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