S. Jane bungee jumps off the Sagamore bridge into the ocean. Her height ( in feet) as a function of time ( in seconds) could be modeled by the function below. h ( t ) = - 161 + 32t+ 275 . How many seconds does it take for Jane to hit the water? b. How high is the bridge? c. How long does it take Jane to reach her maximum height? What is Jane's maximum height? 9. In a track and field event, a competitor participated in the shot-put event. The competitor's throw can be modeled by the function below, where x is the shot-put's horizontal distance (in feet) and y is the corresponding height (in feet). Find the length of the throw. y = - 0.02x2+ x + 6 10. A flea's jump can be modeled by the function below, where x is the horizontal distance (in centimeters) and y is the corresponding height (in centimeters). y = -.073x(x-33) a. How far di the flea jumped? b. What was the flea's maximum height?More Projectile Word Problems Use Algebra to solve these problems, and show all of your work. Where necessary, your answers to two Dropping Object Model h = -16t? + ho t= time (seconds) ho = initial height (in feet) 1. For a science competition, students must design a container that prevents an egg from breaking when dropped from a height of 50 feet. How long does it take for the container to hit the ground? G - - 16 +2 + 50 16 + 2 80 VIT 16 2. A student drops a marker off the top of a staircase that is 30 feet high. a. How long does it take for the marker to reach 10 feet? 1057-16+2+30 -0 - 30 - 30 b. How long does it take for the marker to hit the ground? - 20 = /642 - 16 7 6 + 2 Throwing/Launching an Object Model: h = -16+ + wot + ho t = time (seconds) ho = initial height (in feet) vo = initial velocity (feet per second) 3. A juggler throws a ball into the air. The ball leaves the juggler's hand 4 feet above the ground and has an initial velocity of 40 feet per second. The juggler catches the ball when it falls back to a height of 3 feet. How long is the bal in the air ?4. An object is launched upward with an initial velocity of 64 feet per second from a platform that is 80 feet high. How many seconds does it take for the object to hit the ground? 5. Jimmy is on the swim team and dives off a diving board that is about 33 feet above the water at a velocity of 29 feet per second. Jimmy's height (in feet) as a function of time (in seconds) can be modeled by the function below. After how many seconds does Jimmy hit the water? h (t ) = - 1612 + 29t+ 33 6. A quarter is dropped off the Eiffel Towers, which is 1080 feet. How long does it take for the quarter to hit the ground 7. An object is launched upward with an initial velocity of 82 feet per second from a platform 100 feet high. a. How many seconds does it take for the object to hit the ground? b. What is the maximum height of the object