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Unformatted text preview: L ECTURE 3: P ROJECTILE M OTION • More Vector addition – Moving “thrower” – Completing a pass • Monkey & hunter • Range (projectile motion) • Optimal launch angles – To maximize range – To minimize response time (“catching” a projectile) – To maximize accuracy Vectors Add when there is Relative Motion Wilson 23.7. • The ball has velocity ~ v = ~ v throw + ~ v train . When Moving, Athletes Add the Vectors Gay 3.1 To complete a pass, add the vectors! • The distance between the passer and the receiver at the time of the pass is: s • The speed of the receiver is v r . At the time t that the pass is received the receiver has moved a distance v r t. • The speed of the puck/ball is v p . At the time the pass is received the puck has moved a distance v p t. • For a completed pass, the vectors s and v r t must add up to the vector v p t → → → 1. The diagram shows a bad pass. What did the passer do wrong? (a) Aimed too far ahead of the receiver. (b) Passed the ball too hard. (c) Underestimated the receiver’s speed. (d) None of these. (e) More than one of these. X O Passer Receiver s v p t v r t Decomposing Vectors into Components Simplifies Analysis Hewitt. Hewitt. Explanation of Monkey & Hunter Demo: Both fall the same distance Hewitt. Without air resistance, the upward and downward motions are mirror images Hewitt. Can use Magnitude & Angle or Horizontal & Vertical Components Hay. A Launch Angle of 45 ◦ Maximizes the Range Hewitt. Maximum range: large horizontal velocity and large time of flight Wesson Fig. 4.3 1. Trajectories are shown for three kicked footballs. Ignore air resistance.1....
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 Fall '08
 Mcwilliams,R
 Physics, Force, Projectile Motion, Trajectory, Trajectory of a projectile, Range of a projectile

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