Question

The path is defined by \(y = -5x^2 + 10x + 1.5\). \(y\) represents height and \(x\) represents time. Determine when the ball will be at 5m.

- A) (to be calculated)
- B) (to be calculated)
- C) (to be calculated)
- D) (to be calculated)

Answer 1

The equation y = -5x^2 + 10x + 1.5 represents the path of the ball. To determine when the ball will be at 5m, set y equal to 5 and solve for x.

Step-by-step explanation:

The equation y = -5x^2 + 10x + 1.5 represents the path of the ball where y is the height and x is the time. To determine when the ball will be at 5m, we set y equal to 5 and solve for x:

5 = -5x^2 + 10x + 1.5

This is a quadratic equation which can be solved using various methods such as factoring, completing the square, or using the quadratic formula. Once the equation is solved, the values of x represent the times when the ball will be at 5m.