The path of a ball can be modelled with the function f(t) = -½g t² + vot + h, where g represents the force of gravity, t represents time, vo represents the initial velocity, and h represent the height from which the ball is thrown.
Willie throws a basketball from the height of 1.8 m at a speed of 12 m/s.

Write the equation that models this throw, given that Earth's gravity is 9.8.

What will be the maximum height of the basketball rounded to 2 decimal places?

How long before the basketball will be at 3 m to drop into the basket?

Question

The path of a ball can be modelled with the function f(t) = -½g t² + vot + h, where g represents the force of gravity, t represents time, vo represents the initial velocity, and h represent the height from which the ball is thrown.
Willie throws a basketball from the height of 1.8 m at a speed of 12 m/s.

Write the equation that models this throw, given that Earth's gravity is 9.8.

What will be the maximum height of the basketball rounded to 2 decimal places?

How long before the basketball will be at 3 m to drop into the basket?