Quadratic Applications Worksheets Grade 9

1. Sophia throws a ball straight upward from the top of a 16-meter tall building with an initial velocity of 21 m/s. The height of the ball above the ground is modeled by the quadratic function h(t) = -5t² + 21t + 16, where h is the height in meters and t is the time in seconds after the throw. What is the maximum height the ball reaches above the ground?
2. Mere kicks a soccer ball with height h(t) = -16t² + 48t + 4. Find the maximum height of the ball.
3. A ball is thrown upward from a height of 5 meters with an initial velocity of 20 m/s. The height is given by h(t) = -5t² + 20t + 5. Find the maximum height reached by the ball.

…and 5 more problems

1. Ava kicks a soccer ball whose height is modeled by h(t) = -16t² + 80t + 4. Find the maximum height the ball reaches.
2. A drone is launched from a platform 25 meters high. Its height above ground is modeled by the quadratic function h(t) = -4t² + 24t + 25, where h is height in meters and t is time in seconds after launch. How many seconds after launch will the drone hit the ground?
3. f(x) = 3x² - 12x + 7, f(4) = ?

…and 4 more problems

1. Matiu throws a ball whose height is given by h(t) = -16t² + 48t + 4. Find the maximum height.
2. f(x) = 3x² - 12x + 5, f(2) = ?
3. Emma kicks a soccer ball whose height is given by h(t) = -5t² + 15t + 10. What is the maximum height of the ball?

…and 5 more problems