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WorksheetsParametrics Quiz
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
A ball rolls across the floor.
The coordinates of the ball are given by x = t and y = 10 - 2t.
What is the position of the ball at time t = 3?
The coordinates of the ball are given by x = t and y = 10 - 2t.
What is the position of the ball at time t = 3?
a)
Point A
b)
Point B
c)
Point C
d)
Point D
2.
The coordinates of a car at time t are x = 10 - t and y = 8 - t. Which equation describes the path of the car?
a)
y = 10 - x
b)
y = 8 - x
c)
y = 2 - x
d)
y = x - 2
3.
The coordinates of a train at time t are x = 8 - t and y = 9 - 2t. As t increases, which arrow shows the direction, but not necessarily the path of the train?
a)
Arrow A
b)
Arrow B
c)
Arrow C
d)
Arrow D
4.
The coordinates of a car at time t are given by x = 8 - t and y = 2t - 16. As t increases, which direction and path is the car traveling?
a)
from left to right along the path y = 2x - 16.
b)
from left to right along the path y = 2x.
c)
from right to left along the path y = -2x.
d)
from left to right along the path y = -2x.
5.
The position of a particle at time t is given by x = 3 cos(t) and y = 3 sin(t). Which of the following describes the path of the particle?
a)
a circle of radius 3 centered at the origin
b)
a circle of diameter 3 centered at the origin
c)
an ellipse with minor axis 3 centered at the origin
d)
an ellipse with major axis 3 centered at the origin
6.
The position of the blade of a fan at time t is given by x = cos(-t) and y = sin(-t). As t increases, which direction and path is the blade traveling?
a)
clockwise around a circle centered at the origin of radius 1.
b)
counter-clockwise around a circle centered at the origin of radius 1.
c)
clockwise around a cicle centered at the origin of diameter 1.
d)
counter-clockwise around a circle centered at the origin of diameter 1.
7.
Which set of parametric equations results in the path shown?
a)
x = cos(t)
y = sin(2t)
y = sin(2t)
b)
x = cos(2t)
y = sin(t)
y = sin(t)
c)
x = cos(2t)
y = sin(2t)
y = sin(2t)
d)
x = 2cos(t)
y = 2sin(t)
y = 2sin(t)
8.
Sketch the curve of x(t) = 2t + 1 and y(t) = t2 + 2.
a)
A
b)
B
c)
C
d)
D
9.
Eliminate the parameter from x(t) = t2 + 5 and y(t) = t2 - 4. Which of the following sketches results?
a)
Linear
b)
Quadratic
c)
Quartic
d)
Square Root
10.
Which set of parametric equations satisfies the given data table?
a)
x(t) = t3 - 1
y(t) = 2t
y(t) = 2t
b)
x(t) = t3 - 1
y(t) = t + 2
y(t) = t + 2
c)
x(t) = t + 8
y(t) = t + 2
y(t) = t + 2
d)
x(t) = t + 8
y(t) = 2t
y(t) = 2t
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