What does the graph of the following equation look like without graphing it.x = t2 + 1y = t - 2

Sideways parabola with vertex (1, -2)

Graph the parametric equationx = 3t2 + 1y = 1/(t + 2)

Find a single equation using x and y, that eliminates the parameter.

1

x - 13

√

+ 2±

y =

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13

24

θ

Find the measure of θ

37.797o

6

25o

x

12.867

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34

5224o

x

Find the length of x

25.09

14

12

8

θ

58.81o

θ

32o

10

8

41.483o

or138.517o

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James is the High School mascot and during the half time show he starts on the 20 yard line, 35 yards from the sideline. During one point of the routine he walks to the 45 yard line and ends 20 yards from the sideline. His walk took 45 seconds. Write a set of parametric equations for his motion.

x = 20 + (5/9)ty = 35 - (1/3)t

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James is the High School mascot and during the half time show he starts on the 20 yard line, 35 yards from the sideline. During one point of the routine he walks to the 45 yard line and ends 20 yards from the sideline. His walk took 45 seconds.What is James's Bearing angle?

329.036o

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James is the High School mascot and during the half time show he starts on the 20 yard line, 35 yards from the sideline. During one point of the routine he walks to the 45 yard line and ends 20 yards from the sideline. His walk took 45 seconds. What is his speed along his path?

0.648 yards/sec

When Cassie hits a softball, she usually hits the ball at a height of 3 feet. During one at-bat the ball leaves the bat at a 36o angle with a velocity of 98 ft/s. Write a set of parametric equations for the position of the ball.

x = 98cos(36)ty = -16t2 + 98sin(36)t + 3

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When Cassie hits a softball, she usually hits the ball at a height of 3 feet. During one at-bat the ball leaves the bat at a 36o angle with a velocity of 98 ft/s. Will the ball clear a 10ft fence that is 275 feet away?

At t = 3.47 sec the ball will travel 275 feet and be at a height of 10.22 feet. Yes it will clear the fence.

A pilot heads his plane due east at 300 mi/h. There is a constant25 mi/h wind blowing at a bearing of 20o. Find a set of parametric equations for the plane.

x = 300t + 25cos(70)ty = 25sin(70)t

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A pilot heads his plane due east at 300 mi/h. There is a constant25 mi/h wind at a bearing of 20o. Give the bearing for the actual course flown by the airplane and the actual distance that the airplane will travel in 3 hours.

928.331 miles85.646o

A pilot heads his plane due east at 300 mi/h. There is a constant25 mi/h wind blowing at a bearing of 20o.

What bearing should the pilot set so that the plane travels due east and what speed will it be traveling?

4.49o

299.079 mph

A boat is traveling at a bearing of 260o at 75 mph. However there is also a wind with a bearing of 95o at 20 mph.

Write a set of parametric equations for the position of the boat with the wind.

x = -75cos(10)t + 20cos(5)ty = -75sin(10)t + 20sin(5)t

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A boat is traveling at a bearing of 122o at 45 knots (knots are a unit of speed = 1 nautical mile per hour). However there is also a wind with a bearing of 210o at 15 knots.

Find the resulting bearing angle and speed of the boat.

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