10. (12 points) An airplane flies at a velocity of 220 m/s directly east over Palm Beach. Genevieve, a passenger on the airplane, runs towards the back of the airplane at 5 m/s. At the same instant, Lauren drives directly west towards the airplane at a speed of 15 m/s. a) Calculate Genevieve's velocity relative to Lauren (how fast Lauren is approaching Genevieve). b) Genevieve drops a Hello Kitty plushie directly down out of the airplane. Lynn stands at rest on the ground and watches this all go down. Describe the path and calculate the speed of the plushie after falling for 3 seconds according to: i. Genevieve ii. Lynn11. (20 points) Jainil throws a basketball that goes directly into a net as shown. Jainil throws the ball at v = 8 m/s at an angle of 8 = 60 and at a release height of 2 m as shown. The ball travels v downward through the basket at a height of 4 m. f a) Calculate how far away from the basketball Jainil is when he ., 4m makes the throws the ball. b) Calculate the maximum height reached by the basketball. ) Sketch graphs of the displacement, velocity, and acceleration of the ball in the horizontal and vertical directions. Distinguish the graphs by having the x-components be solid lines and the vertical components as dashed lines. Label any maxes and mins. d v 4 A t t 12. (22 points) An airplane is flying 1200 m above the R oo saas : ground at a speed of 200 m/s. It drops a pumpkin on a = T target on the ground. 200 m/s a) Calculate how far from the target the pumpkin 1200 m must be dropped so that it lands on the target. b) Calculate the angle the pumpkin's trajectory makes with the ground when it strikes. ) How would your answer to a) change if the airplane were flying at a downward angle when dropping the pumpkin? Justify your answer qualitatively. d) Suppose that instead of dropping the pumpkin, the pilot throws the pumpkin downward with an initial downward speed. Steve the student claims \"Since the pumpkin is given an initial vertical velocity, it will hit the ground with a greater speed. Since the pumpkin is travelling faster, it will also travel further in the x-direction before hitting the ground. i. What part of the student's reasoning is correct? Justify your answer. ii. What part of the student's reasoning is incorrect? Justify your