U4 T2 Parametric Equations Quiz

What variables are involved in parametric equations?

• x

• t

• z

• y

Eliminate the parameter.

x = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Tags

CCSS.HSF-BF.B.4A

Eliminate the parameter.

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.SSE.A.2

CCSS.HSA.SSE.B.3

Eliminate the parameter.

x= √t and y=5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 1 second.

• 13.5 feet

• 14.1 feet

• 18.6 feet

• 33.1 feet

An NFL punter at the 20 yard line kicks a football downfield with an initial velocity of 75 ft/sec at an angle of 66⁰. The ball leaves his foot at a height of 3 feet.

How high will the ball be when it reaches the crossbar of the goalposts, which are 25 yards (75 feet) away from the kicker?

• -81.516 feet

• 74.734 feet

• 28.236 feet

• 25 feet

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 x component with a parametric equation.

• x = (3 cos 18) t

• x = (150 cos 18)t

• x = (150 cos 18)

• x = (150 cos 3)t

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

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.

How far away is the ball from Mr. Salaam

after 1.5 seconds?

• 180.988 feet

• 36.529 feet

• 46.353 feet

• 213.988 feet

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.

How long does it take the ball to

travel 100 feet horizontally?

• 0.206 sec

• 0.701 sec

• 0.634 sec

• 2.157 sec