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

Sideways parabola with vertex (1, -2)

Graph the parametric equation x = 3t y = 1/(t + 2) Find a single equation using x and y, that eliminates the parameter.

1 x √ + 2 ± y =

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13 24 θ Find the measure of θ

o

6 25 o x

12.867

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o x Find the length of x

25.09

θ

58.81 o

θ 32 o 10 8

o o r o

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Start Finish 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)t y = 35 - (1/3)t

Start Finish 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?

o

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Start Finish 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 36 o angle with a velocity of 98 ft/s. Write a set of parametric equations for the position of the ball.

x = 98cos(36)t y = -16t sin(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 36 o 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 feet. Yes it will clear the fence.

A pilot heads his plane due east at 300 mi/h. There is a constant 25 mi/h wind blowing at a bearing of 20 o. Find a set of parametric equations for the plane.

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

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A pilot heads his plane due east at 300 mi/h. There is a constant 25 mi/h wind at a bearing of 20 o. Give the bearing for the actual course flown by the airplane and the actual distance that the airplane will travel in 3 hours.

miles o

A pilot heads his plane due east at 300 mi/h. There is a constant 25 mi/h wind blowing at a bearing of 20 o. What bearing should the pilot set so that the plane travels due east and what speed will it be traveling?

4.49 o mph

A boat is traveling at a bearing of 260 o at 75 mph. However there is also a wind with a bearing of 95 o at 20 mph. Write a set of parametric equations for the position of the boat with the wind.

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

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

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