Julie twirls a ball on a string around counterclockwise in a vertical circular p

Question

Julie twirls a ball on a string around counterclockwise in a vertical circular path at 3.9 radians/sec. The string measures 2.7 feet from the ball to her hand.

Let t represent the varying value of the number of seconds since the ball passed the 3 o'clock position on the circle.

Let represent the varying value of the number of radians swept out by the ball since it passed the 3 o'clock position.

Match the following function rules with the appropriate quantity:

-The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in feet) with respect to the number of seconds elapsed since the ball was at the 3 o'clock position.

-The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in feet) with respect to the measure of the angle swept counterclockwise from the 3 o'clock position.

- The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in radii) with respect to the measure of the angle swept counterclockwise from the 3 o'clock position.

-The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in radii) with respect to the number of seconds elapsed since the ball was at the 3 o'clock position.

A.cos(3.9t)

B.cos(t)

C.2.7cos(t)

D.3.9cos()

E.3.9cos(2.7t)

F.cos()

G.2.7cos(3.9t)

H.cos(2.7t)

I.cos(3.9)

J.2.7cos()

Explanation / Answer

-The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in feet) with respect to the number of seconds elapsed since the ball was at the 3 o'clock position.   -     2.7cos(3.9t)

-The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in feet) with respect to the measure of the angle swept counterclockwise from the 3 o'clock position.   -   2.7cos()

- The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in radii) with respect to the measure of the angle swept counterclockwise from the 3 o'clock position.   -   cos()

-The horizontal distance of the ball to the right of the vertical line extending through Julie's hand (in radii) with respect to the number of seconds elapsed since the ball was at the 3 o'clock position.   -     cos(3.9t)

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