Parametric equations

A cannonball is fired at a 45.0° angle and an initial velocity of 625 m/s. Assume no air resistance. How long until the cannonball hits the ground?

• 75.4 s

• 45.2 s

• 62.3 s

• 90.2 s

Eliminate the parameter. Convert the parametric equation to rectangular.

x= 2+4t and y=-1+6t

• y=(3/2)x - 4

• t=(x-2)/4

• y=x - 4

• y= (2/3)x + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the "starting point" of this parametric function? (t=0)

• (1, -1)

• (4, -3)

• (-3, 2)

• (-3, 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Converting parametric equations to a rectangular equation is called _________________ the parameter.

• eliminating
• finding
• converting
• jumping

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

The parametric equation x = 3cos(t), y = 3sin(t) is a ..

• a circle

• an ellipse

• a hyperbola

• a parabola

Which t-step will graph the slowest?

• 1
• .1
• .01
• .001

Tags

CCSS.HSF-IF.C.7E

Alex hits the baseball at a 28° angle with an initial velocity of 103 feet per second.  The ball is 4 feet off the ground (initial height) at time of impact.  The ball is not caught by the outfielder and hits the ground.  How far from home plate is the ball, approximately?

• 282 ft.
• 347 ft.
• 188 ft.
• 226 ft.

Using the equation for horizontal distance:  x = v₀tcosθ , find the distance a ball travels if thrown at an initial velocity of 65 ft/s at an angle of 29 degrees at 2 seconds.

• 166.177 ft
• 5.055 ft
• 56.85 ft
• 113.700 ft