1. Consider a United States Coast Guard plane flying a rescue mission 300 Km West of the Faraloon Islands. The mission requires the plane's crew to deliver a 50 kg package of emergency supplies to the crew of a stranded sail boat waiting for repair. Your job is to determine how far before the boat the package should be released such that the package lands right on the boat's deck. The plane will be flying at an altitude of 125 m above the boat's deck and traveling with a constant velocity of 86.0 m/s @ 0.00. A. Predict and calculate the time it will take for the package to free-fall to the boat's deck. B. Predict and calculate the horizontal displacement (Range) of the package while in free-fall. C. Sketch a diagram describing where the plane should be when the package is released such that the package lands right on the boat's deck? D. Predict the final speed of the package, just before it strikes the boat's deck. E. Sketch position, velocity and acceleration graphs for the package during freefall in two dimensions. F. What do you think about the rescue mission's plan? Would you change it? Briefly explain. - 3
2. Consider Los Angeles Dodger, IVIatt Kemp, to have just hit a homerun against the Giants at the AT&T Park in San Francisco. A Giants fan in the left field bleachers catches the ball and rejects the homerun by throwing the ball back onto the playing field. The ball is thrown with an initial velocity of 24.0 m/s @ 0.00. If the initial height of the ball is 45.0 m above the playing field: A. Predict and calculate the time it takes for the ball to free-fall to the playing field. B. Predict and calculate the Range (horizontal displacement) of the ball. C. Predict and calculate the speed of the ball just before it strikes the playing field. D. Sketch position, velocity and acceleration graphs for the ball's free-fall in both dimensions.
Los Altos High School Physics -Two Dimensional Kinematics Workbook Problems 3. Consider a golf ball launched with an initial velocity of 48.0 m/s @ 45.0. You observe the ball freefalling above the fairway. Suddenly, the instant after the ball reaches the apex (apex = highest vertical position) of it's parabolic trajectory, it plugs into a giant cactus at the edge of a tall cliff high above where the ball was launched. A. Predict and calculate the time needed for the golf ball to reach the apex. B. Predict and calculate the golf ball's range (horizontal displacement during f reef a 11.) C. Predict and calculate the golf ball's maximum height. D. Predict and calculate the golf ball's velocity at the apex, just before striking the cactus. E. State the golf ball's acceleration at the apex, just before striking the cactus. F. Sketch position, velocity and acceleration graphs for the golf ball to the apex.
4. Consider a soccer player kicking a ball against a wall. Suddenly, the player kicks the ball from ground level initial velocity of 28.0 m/s @ 35.0. The ball passes through a window in the wall as it reaches its maximum Assume the ball is in free-fall. Predict and calculate the time needed for the ball to reach the apex. Predict and calculate the ball's range (horizontal displacement during freefall.) Predict and calculate the ball's maximum height. Predict and calculate the ball's velocity at its apex. State the ball's acceleration at the apex, just before passing through the window/ Sketch position, velocity and acceleration graphs for the ball to the apex. KJ o fit** 3
6. An Olympic long jumper leaves the ground with an initial velocity of 11-0 m/s at 40.0 above the horizontal. The jumper lands at the same vertical position as they jumped from. Assume the jump to be in free-fall. A. Predict and calculate the long jumper's maximum height. //.O j B. Predict and calculate the long jumper's velocity at the apex. C. Predict and calculate the jumper's range. D. Predict and calculate the final velocity just before she hits the ground. E. State her acceleration 0.301 s after she jumps. F. Sketch displacement, velocity and acceleration graphs for the jumper during the entire freefall.