We can now solve a quadratic equation by graphing, factoring, completing the square or the quadratic formula. We need to know how to apply these skills and use the most appropriate method in a given situation. Example 1: Path of an Object The formula can be used to model the height of a projectile, where g is acceleration due to gravity, which is 9.8m/s2 on Earth, vo is the initial vertical velocity, in metres per second, and ho is the initial height, in metres. Create a model for the height of a toy rocket launched upward at 60m/s from the top of a 3-m platform. How long would the rocket take to fall to Earth, rounded to the nearest hundredth of a second? What is the maximum height of the rocket, rounded to the nearest metre? Over what time interval is the height of the toy rocket greater than 150 m? Round to the nearest hundredth of a second.
We can now solve a quadratic equation by graphing, factoring, completing the square or the quadratic formula. We need to know how to apply these skills and use the most appropriate method in a given situation. Example 1: Path of an Object The formula can be used to model the height of a projectile, where g is acceleration due to gravity, which is 9.8m/s2 on Earth, vo is the initial vertical velocity, in metres per second, and ho is the initial height, in metres. Create a model for the height of a toy rocket launched upward at 60m/s from the top of a 3-m platform. How long would the rocket take to fall to Earth, rounded to the nearest hundredth of a second? What is the maximum height of the rocket, rounded to the nearest metre? Over what time interval is the height of the toy rocket greater than 150 m? Round to the nearest hundredth of a second.
8_-_solve_problems_using_quadratic_equations_handout.docx