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A squirrel has x- and y- coordinates ( 1.5 m , 3.5 m) at time t 1=0 and coordina

ID: 1523369 • Letter: A

Question

A squirrel has x- and y-coordinates ( 1.5 m , 3.5 m) at time t1=0 and coordinates ( 4.8 m , -0.60 m) at time t2 = 3.1 s .

Part A

For this time interval, find the x-component of the average velocity.

Express your answer using two significant figures.

Part B

For this time interval, find the y-component of the average velocity.

Express your answer using two significant figures.

Part C

Find the magnitude of the average velocity.

Express your answer using two significant figures.

Part D

Find the direction of the average velocity.

Express your answer using two significant figures.

Explanation / Answer

average velocity has an easy formula...

x2 - x1
-------
t2 - t1

In this case,

a) vx = (4.8 - 1.5)/(3.1 - 0) = 1.06 m/s
b) vy = (-0.6 - 3.5)/(3.1 - 0) = -1.32 m/s
c) v = sqrt(vx^2 + vy^2) = 1.693 m/s
d) tan(theta) = vy/vx, so theta = 51.2º below the positive x-axis

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