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

ID: 1592939 • Letter: A

Question

A coyote chasing a rabbit is moving 8.00 m/s due east at one moment and 8.80 m/s due south4.05 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.

PART B

Find the magnitude of the coyote’s average acceleration during that time.

Express your answer with the appropriate units.

PART C

Find the direction of the coyote’s average acceleration during that time.

Here,

initial velocity , u = 8 i m/s

final velocity , v = - 8.8 j m/s

t = 4.05 s

part A)

let the average acceleration of coyete is a

using first equation of motion

v = u + a * t

-8.8 j= 8 i + 4.05 * a

a = -1.98 i - 2.17 j m/s^2

the component of acceleration is (-1.98 m/^2 , -2.17 m/s^2)

part B)

magnitude of average acceleration = sqrt(1.98^2 + 2.17^2)

magnitude of average acceleration = 2.94 m/s^2

the magnitude of average acceleration is 2.94 m/s^2

part C)

as the acceleration is in the third quadrant

direction of average acceleration = 180 + arctan(2.17/1.98)

direction of average acceleration = 227.6 degree from positive x axis

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