Equation Worksheets - Unit 8-9 (Page 2 of 9) in pdf

Equation Worksheets - Unit 8-9 Page 2

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Unit 8-9 Review

19. A golf ball is hit with an initial velocity of 160 ft/s at an angle of 28° with the horizontal. After 1.6 seconds, how far

has the golf ball traveled horizontally and vertically?

20. A discus is thrown from a height of 4 feet with an initial velocity of 65 ft/s at an angle of 44° with the horizontal. How

long will it take for the discus to reach the ground?

21. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35° with the horizontal. How long

will it take for the projectile to reach the ground?

22. Draw a diagram that shows the resolution of the vector described below into its rectangular components. Then find

the magnitudes of the vector's horizontal and vertical components.

23. Find the component form of

with initial point B(–3, 2) and terminal point C(–7, 8).

24. Find 7r – 4s if r =

and s =

25. Let

be the vector with initial point J(–15, –10) and terminal point K(–14, –12). Write

as a linear combination

of the vectors iand j.

26. Find the component form of the vector v with magnitude 30 and direction angle 240°.

27. Find the direction angle of <–8, 12>.

28. Find the angle θ between u = <6, 3> and v = <2, –6>.

29. Are vectors u = <1, 2> and v = <–6, –5> orthogonal?

30. Draw a diagram of both an ellipse and a hyperbola and label all the important parts. (Look on line for this or in your

textbook)

31. Practice being able to classify conics. There are multiple questions devoted to this and the questions really should be

easy and quick to accomplish!

32. Determine the domain of the function

33. Find f(–6) for f(x) = 2x

+ 11x – 5.

34. Find f(m + 2) for f(x) = 2x

+ 7x – 8.

35. Identify the y-intercept and zeros

36. Determine whether the graph of

has infinite discontinuity, jump discontinuity, point discontinuity,

or is continuous.

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Equation Worksheets - Unit 8-9 Page 2