Vectors and Parametric Equations

Given the velocity is  $<3,\ -1>$  and the position at t = 0 is ( 2, 3) which of the following is the vector equation?

•  $\left(x,\ y\right)=\left(3,\ -1\right)+t<2,\ 3>$  

•  $\left(x,\ y\right)=\left(2,\ 3\right)+t<3,-1>$  

•  $\left(x,\ y\right)=<2,\ 3>+\ t\left(3,-1\right)$  

•  $\left(x,\ y\right)=<3,\ -1>+\ t\left(2,\ 3\right)$  

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.C.11

CCSS.HSA.CED.A.2

CCSS.HSN.VM.C.10

Given the velocity is  $<3,\ -1>$  and the position at t = 0 is ( 2, 3) which of the following is the speed of the vector?

•  $3.16$  

•  $2$  

•  $16$  

•  $4$  

Tags

CCSS.HSN.VM.A.3

Given the velocity is  $<3,\ -1>$  and the position at t = 0 is ( 2, 3) which of the following is the x value of the Parametric Equation?

•  $x=3-t$  

•  $x=3+2t$  

•  $x=2+3t$  

•  $x=-1+3t$  

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Given the velocity is  $<3,\ -1>$  and the position at t = 0 is ( 2, 3) which of the following is the y value of the Parametric Equation?

•  $y=3-t$  

•  $y=3+2t$  

•  $y=2+3t$  

•  $y=-1+3t$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Given the velocity is  $<1,\ -1>$  and the position at t = 0 is  $(1,-5)$  which of the following is the vector equation?

•  $\left(x,\ y\right)=\left(1,\ -1\right)+t<1,-5>$  

•  $\left(x,\ y\right)=<1,-5>+\ t\left(1,-1\right)$  

•  $\left(x,\ y\right)=<1,-1>+\ t\left(1,-5\right)$  

•  $\left(x,\ y\right)=\left(1,-5\right)+\ t<1,-1>$  

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

CCSS.HSN.VM.C.11

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Given the velocity is  $<1,\ -1>$  and the position at t = 0 is  $(1,-5)$  which of the following is the speed of the vector?

•  $0$  

•  $1.41$  

•  $2$  

•  $1.74$  

Given the velocity is  $<1,\ -1>$  and the position at t = 0 is  $(1,-5)$  which of the following is the x value of the Parametric Equation?

•  $x=1+t$  

•  $x=-5-t$  

•  $x=-1-5t$  

•  $x=2t$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A point moves in the plane so that its position at time t is given by the vector equation: $\left(x,\ y\right)=\left(1,\ 4\right)+t<3,-2>$ 
Where is the point at t = 3 seconds?
 

•  $\left(3,-2\right)$  

•  $\left(9,-6\right)$  

•  $\left(1,\ 4\right)$  

•  $\left(10,-2\right)$  

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.C.11

A point moves in the plane so that its position at time t is given by the vector equation: $\left(x,\ y\right)=\left(1,\ 4\right)+t<3,-2>$ 
Where is the point at t = 0 seconds?
 

•  $\left(3,-2\right)$  

•  $\left(9,-6\right)$  

•  $\left(1,\ 4\right)$  

•  $\left(10,-2\right)$  

Tags

CCSS.HSN.VM.A.1

A point moves in the plane so that its position at time t is given by the vector equation: $\left(x,\ y\right)=\left(1,\ 4\right)+t<3,-2>$ 
Where is the point at  $t=-3$  seconds?
 

•  $\left(-8,\ 10\right)$  

•  $\left(9,-6\right)$  

•  $\left(1,\ 4\right)$  

•  $\left(-10,\ 2\right)$  

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.B.4