Purpose: Model projectile problems found in sciences.

Task: Find maximum vertical and horizontal distances

Criteria: Name/question written at top of page (1 point)

Equation of motion written (1 point)

Variables defined (2 points)

Find vertex using formula (2 points)

Interpret vertex in sentence form (2 points)

Find x-intercepts using quadratic formuls (2points)

Interpret x-intercepts in sentence form (2 points)

Use pen or pencil to write the question and a complete solution.

A ball is thrown across a playing field from a height of 5 ft above the ground at an angle of 45^o to the horizontal at a speed of 20 ft/s.

The path of the ball is modeled by the function

where x is the distance that the ball has traveled horizontally.

a) Find the maximum height attained by the ball.

b) Find the horizontal distance the ball has traveled when it hits the ground.