### Home > CALC > Chapter 11 > Lesson 11.1.3 > Problem11-31

11-31.

The position of a ball at time $t$ is specified by the point $(x(t)$, $y(t))$ where $x(t) = 20t$ and $y(t) = 40t-10t^2$. If distance is measured in meters and time is in seconds,

1. When will the ball land?

This occurs when $y(t) = 0$.

2. How far does the ball travel horizontally?

Use your answer from part (a) to evaluate $x(t)$.

3. How high does the ball go?

If you graph only $y(t)$, what is the shape of the graph? Where does the max occur on this type of graph?