Solutions to Odd-Numbered Exercises

1. plotting points with the orientation arrow and a graphing calculator

3. The arrows show the orientation, the direction of motion according to increasing values of [latex]t[/latex].

5. The parametric equations show the different vertical and horizontal motions over time.

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39. There will be 100 back-and-forth motions.

41. Take the opposite of the [latex]x\left(t\right)[/latex] equation.

43. The parabola opens up.

45. [latex]\begin{cases}x\left(t\right)=5\cos t\\ y\left(t\right)=5\sin t\end{cases}[/latex]

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53. [latex]a=4,b=3,c=6,d=1[/latex]

55. [latex]a=4,b=2,c=3,d=3[/latex]

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61. The [latex]y[/latex] -intercept changes.

63. [latex]y\left(x\right)=-16{\left(\frac{x}{15}\right)}^{2}+20\left(\frac{x}{15}\right)[/latex]

65. [latex]\begin{cases}x\left(t\right)=64t\cos \left(52^\circ \right)\\ y\left(t\right)=-16{t}^{2}+64t\sin \left(52^\circ \right)\end{cases}[/latex]

67. approximately 3.2 seconds

69. 1.6 seconds

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