American Football Game
1. A quarterback drops back to throw a pass to his wide receiver. The quarterback throws the ball with an initial velocity of 50 miles per hour at an angle of 30 degrees above the ground. How many yards downfield will the wide receiver need to run to catch the ball as it lands? Plot the flightpath of the football with clear labeling.
2. Later in the game, the quarterback throws a pass to the wide receiver with a defender in hot pursuit. If the pass does not arrive to the wide receiver in two seconds, the pass will be intercepted. If the receiver is 30 yards away and the pass is thrown at a 10 degree angle from the ground, how fast must the ball be thrown to reach the receiver? If the fastest the quarterback can throw a football is 60 miles per hour, will the ball reach the receiver in time? Plot the flightpath of the football with clear labeling, and, if applicable, specifically show the location of the ball at t = 2 seconds.
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