Pre-Calculus - Parametric Equations

1

Write the parametric equation for the line y = -3x +1.5

2

Write an equation in slope-intercept form of the line with the given parametric equations:

3

Find the parametric equations for a line parallel to $\vec{a}=(3,2)$ and passing through the point (0, 5).

4

Write a vector equation describing the line passing through P1 (1, 4) and parallel to the vector $\vec{a}$ = (3, 4).

5

Find the parametric equations for a line parallel to $\vec{a}=(-7,3.5)$ and passing through the point (4, -3).

6

Write the parametric equation for the line y = 5x - 3.

7

Write an equation in slope-intercept form of the line with the given parametric equations:

8

True or false: A line through P1 (x1, y1) that is parallel to the vector $\vec{a}=(a_1,a_2)$ is defined by the set of points such that $\vec{P_1P_2}=t\vec{a}$ for some real number t. Therefore, .

9

A pitcher throws a fastball, and the batter swings and connects with the ball. If the ball has an initial velocity of 150 f/s and an angle of 20o about the horizontal, what parametric equations will model the motion of the ball? What height will the ball be at when it has travelled 400 feet horizontally?

10

A football punter kicks a ball with an initial velocity of 40 ft/s at an angle of 29o to the horizontal. After 0.5 seconds, how far has the ball travelled horizontally and vertically?

Parametric Equations

Practice Questions