A coyote chasing a rabbit is moving 8.00 m/s due east at one moment and 8.80 m/s

Question

A coyote chasing a rabbit is moving 8.00 m/s due east at one moment and 8.80 m/s due south 4.15 s later. Let the x axis point due east and the y axis point due north.

Part A Find the x and y components of the coyote’s average acceleration during that time. Enter the x and y components of the average acceleration separated by a comma. (ax, ay) = ____________m/s2

Part B Find the magnitude of the coyote’s average acceleration during that time. Express your answer with the appropriate units. a = (Include value and units)

Part C Find the direction of the coyote’s average acceleration during that time. =_________________________ counterclockwise from the positive x axis

Explanation / Answer

Part A

ax is –8 / 4.15 = – 1.92 m/s/s (this stops its eastwards motion )

ay is 8.80 / 4.15 = 2.12 m/s/s

( this gets it moving in the southerly direction - its your choice as to whether it is negative or not - it is an acceleration, not a slowing down so we usually call it positive. But it is going South which is sometimes called the negative Y direction . )

Part B
Magnitude = 1.92^2 + 2.12^2 = 2.86 m/s/s

Part C
Direction = tan^–1 ( 1.92 / 2.12 ) = S 42.16 W

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