A car drives on a curved road that goes down a hill. The car's position is defined by the position vector, r$=\{[30\mathrm{.}0$cos$(\backslash$pi $10\mathrm{.}0$t$)]$i$+[30\mathrm{.}0$sin$(\backslash$pi $10\mathrm{.}0$t$)]$j$($Azt$)$k$\}$ ft

where Az$=5\mathrm{.}00$ft$/$s

$.$ The image below shows the system projected onto the x$$y plane. What are the car's velocity and acceleration vectors at this position?

Draw your vectors starting at the black dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded and the trigonometric function arguments are in radians.

View Available Hint$($s$)$for Part A

All elements have already been added.All elements have already been added. Select to observe the list of the elements that can be added to the canvas. Press CTRL$+$Y to get to the elements on the canvas. Press CTRL$+$Q to quit the application.

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The angle counting from horizontal axis counterclockwise $270$ degrees. Use arrows to move the end point.

Press TAB to go to the next element. There is an image on the canvas: A top view of a car moving along a curved road is shown. The road forms a top semicircle with a radius of $30$ feet. At the moment shown, the car is located at the top point of the road. A black dot is marked at the center of the car.

A top view of a car moving along a curved road is shown. The road forms a top semicircle with a radius of $30$ feet. At the moment shown, the car is located at the top point of the road. A black dot is marked at the center of the car.

v

a

Select the elements from the list and add them to the canvas setting the appropriate attributes. Press TAB to get to the main menu.Use arrow keys to apply parallel transition to the object. Press TAB to move to the next element on the canvas. Press SHIFT$+$TAB to return to selecting the end point. Press DEL to delete the element from the canvas. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.Press SPACE to get to the set of hotspots or use arrow keys to move on the canvas. Press ESC to quit adding or editing this element. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press CTRL$+$Q to quit the application.Press SPACE to get to the set of hotspots or use arrow keys to move on the canvas. Press TAB to select the whole element. Press SHIFT$+$TAB to move to selecting the start point. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.Press TAB to move to the next element on the canvas. Press DEL to delete the element from the canvas. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.Press SPACE to get to the set of hotspots or use arrow keys to move on the canvas. Press ENTER to change the direction. Press TAB to move to the next element on the canvas. Press DEL to delete the element from the canvas. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.

Previous Answers

Correct

Part B

What is the magnitude, v

$,$ of the car's velocity, v

$,$ at t

$=8\mathrm{.}00$ s

$?$