6.1-6.3 Honors Quiz (Vectors and Parametric Equations)

What (x,y) ordered pair results when  $t=\frac{\pi}{2}$  on the graph defined by the parametric equations $x=3\sin^2t$ and  $y=2\cos^2t$ ?  

• (0, 2)

• (3, 0)

• (0, 3)

• (2, 0)

What (x,y) ordered pair results when  $t=\frac{3\pi}{4}$  on the graph defined by the parametric equations $x=3\sin^2t$ and  $y=2\cos^2t$ ?  

•  $\left(\frac{3}{2},\ 1\right)$  

•  $\left(\frac{3\sqrt{2}}{2},\ \frac{\sqrt{2}}{2}\right)$  

•  $\left(-\frac{3}{2},\ 1\right)$  

•  $\left(\frac{3}{2},\ -1\right)$  

•  $\left(\frac{3\sqrt{2}}{2},\ -\frac{\sqrt{2}}{2}\right)$  

Tags

CCSS.HSF-IF.C.7B

Which set of parametric equations satisfies the given data table?

• x(t) = t³ - 1
  y(t) = 2t
• x(t) = t³ - 1
  y(t) = t + 2
• x(t) = t + 8
  y(t) = t + 2
• x(t) = t + 8
  y(t) = 2t

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Eliminate the parameter:  $x=t+10$  and  $y=t^2-1$  .

•  $y=x^2-20x+99$  

•  $y=x^2+20x+99$  

•  $y=x^2+99$ 

•  $y=x^2-20x-101$ 

•  $y=x^2+20x-101$  

Consider the parametric equations:  $x=2-\left|t\right|$   and  $y=t-1.$  Find the values of t that produce the graph in Quadrant II.

•  $\left(1,\infty\right)$  

•  $\left(-\infty-2\right)$  

•  $\left(-\infty,-2\right)\cup\left(1,\ \infty\right)$  

•  $\left(2,\infty\right)$  

Tags

CCSS.6.EE.C.9

Identify the slope of the parametric equation. {Hint - sub in values for t!}

x = -2 + 2t

y = 2 - 1t

• 1

• -2

• -1/2

• -1

Tags

CCSS.8.EE.B.5

A soccer ball is kicked with a 36^o angle and a velocity of 23 feet/sec.

Find the horizontal coordinate of the ball after 2 seconds.

• 27.0 feet

• 7.1 feet

• 18.6 feet

• 37.2 feet

• 21.9 feet

Tags

CCSS.HSF.TF.A.2

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

If Mrs. Shanahan is standing 175 feet away, will she be able to catch the ball if the height she can reach is 7 feet?

• No, 34.844 feet is too high.

• No, 35.786 feet is too high.

• Yes, -50.029 feet is low enough.

• No, 17.648 is too high.

A baseball is thrown with a velocity of 50 feet per second at an angle of $21\degree$ relative to the ground.  How far will the ball travel horizontally before it lands? 

• 52.57 feet

• 46.68 feet

• 45.85 feet

• 20.07 feet

Tags

CCSS.HSN.VM.A.3