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Parametric Equations Day 2 TS: Examining Information from more than one viewpoint Warm Up: Eliminate the parameter and then sketch the graph. Do not forget your directional arrows. x ln(2t ) y 2t 2 Projectile Motion Model x (vo cos )t y h (vo sin )t 16t 2 Where: h = initial launch height Vo = initial velocity θ = angle with horizontal object was initially launched at A ball is initially hit at a height of 7ft at an angle of 35°. If someone 30 yards away catches the ball at a height of 4 feet, what was the initial velocity of the ball? Also how long was the ball in flight? Two opposing players in “Capture the Flag” are 100ft apart. On a signal, they run to capture a flag that is on the ground midway between them. The faster runner, however, hesitates for 0.1 sec. The following parametric equations model the race to the flag: x1 10(t 0.1), y1 3 x2 100 9t , y2 3 a) Simulate the game in a [0, 100] by [-1, 10] viewing window with a t starting at 0. Graph simultaneously. b) Who captures the flag and by how many feet?