Free Printable Vectors/Parametrics Checkpoint

Worksheets

Vectors/Parametrics Checkpoint

Total questions: 11

Worksheet time: 55mins

Name

Class

Date

Mr. Salaam hits a baseball to Mr. Shakin at 3 ft above the ground with an initial speed of 150 ft/sec and at angle of 18 degrees with the horizontal.

Model the y component with a parametric equation.

y = -16t²+(150 sin 18)t

y = -16t²+(150 sin 3)t+18

y = -16t²+(150 sin 18)t+3

y = 16t²+(150 sin 3)+18

Eliminate the parameter for the following parametric equations.

x = 4 - t

y = 2t + 1

y = 9 - 2x

y = 9 + 2x

y = 7--2x

y = 9 + 2x

Eliminate the parameter from x(t) = t² + 5 and y(t) = t² - 4. Which of the following sketches results?

Linear

Quadratic

Quartic

Square Root

Kait hits the golfball at an angle of 27° with the horizontal at an initial speed of 22 m/s. How far has the ball traveled horizontally after 2 seconds?

50.068 meters

19.976 meters

39.204 meters

42.077 meters

An airplane flying due south (270°) 485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

Direction 267.0°
Magnitude 485.6mph

Direction 93.0°
Magnitude 485.6mph

Direction 237.0°
Magnitude 485.6mph

Direction 87.0°
Magnitude 510.0mph

A wind that is blowing from the northwest toward the southeast can be represented by a vector. The vector has an eastward component and a southward component. If the eastward component has a magnitude of 5 mph and the southward component has a magnitude of 15 mph, in what direction is the wind blowing?

The wind is blowing in the direction 71.6˚ east of south.

The wind is blowing in the direction 67.5˚ east of south.

The wind is blowing in the direction 22.5˚ east of south.

The wind is blowing in the direction 18.4˚ east of south.

Two parametric equations are shown below where

t\ge0

x=\frac{1}{3}\sqrt{t}\ +3

y=4t^2-7

Which nonparametric equation can be used to graph the curve described by the parametric equations?

$y=\frac{4}{9}\left(x+1\right)\ -7$

$y=\frac{4}{3}\left(x+3\right)-7$

$36\left(x-1\right)^4-7$

$324\left(x-3\right)^4-7$

Megan hits a baseball 4 ft. above the ground with an initial speed of 150 ft/sec at an angle of 19° with the horizontal. Will the ball clear a 30-foot wall that is 430 ft. away?

Yes

A boat in the ocean has a bearing of due east moving at a speed of 50 knots per hour. The current in the ocean is about 6 knots per hour in the bearing of N35˚E.

Write a vector to represent the movement of the boat with the current.

$<3.44,\ 4.91>$

$<50,\ 0>$

$<53.44\ ,\ 4.91>$

$<-46.56\ ,\ 4.91\ >$

10.

A boat in the ocean has a bearing of due east moving at a speed of 50 knots per hour. The current in the ocean is about 6 knots per hour in the bearing of N35˚E.

What is the speed of the boat with the current?

50 kph

7.6 kph

6 kph

53.7 kph

11.

A boat in the ocean has a bearing of due east moving at a speed of 50 knots per hour. The current in the ocean is about 6 knots per hour in the bearing of N35˚E.

At what angle is the boat pushed off its course?

The boat is pushed off course 84.8˚ east of north

The boat is pushed off course 89.9˚ east of north

The boat is pushed off course 35.0˚ east of north

The boat is pushed off course 5.2˚ east of north

Reset

Vectors/Parametrics Checkpoint

Total questions: 11

Worksheet time: 55mins

Similar Resources on Wayground