A Foul Ball Is Hit Straight Up into the Air

question 59

Short Answer

A foul ball is hit straight up into the air with a speed of 30.0 m/s.
(a)Calculate the time required for the ball to rise to its maximum height.
(b)Calculate the maximum height reached by the ball.
(c)Determine the time at which the ball pass a point 25.0 m above the point of contact between the bat and ball.
(d)Explain why there are two answers to part (c).

---

Definitions:

Factoring

The process of breaking down an equation, polynomial, or number into its constituent elements or factors, such as finding the prime factors of a number or the factors of a polynomial.

Complex Solutions

Solutions to an equation that include imaginary numbers, indicating they cannot be plotted on the standard real number line.

Real Solutions

Solutions to an equation that do not involve imaginary or complex numbers, and can be plotted on a real number line.

Quadratic Equation

A quadratic equation is a second-degree polynomial equation, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.