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1. The position of a squirrel running in a park is given by r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+ (0.0190m/s3)t3j^.

 

What is υy(t), the y-component of the velocity of the squirrel, as function of time?

A.) vy(t)=(0.0570m/s3)t+(0.0720m/s2)t2

B.) vy(t)=(0.0570m/s3)t2 

C.) vy(t)=(0.0570m/s2)t2

D.) vy(t)=(0.0570m/s3)t

 

2. At 4.52 s , how far is the squirrel from its initial position?

3. At 4.52 s , what is the magnitude of the squirrel's velocity?

4. At 4.52 s , what is the direction (in degrees counterclockwise from +x-axis) of the squirrel's velocity?

Guest Aug 5, 2017
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1+0 Answers

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1. y(t) = 0.0190t3

vy(t) = 3*0.0190t2 → 0.0570t2   If t is in seconds then the 0.0570 must have units m/s3 as the result must be a velocity (m/s).  Hence B.) is the result.

 

2. Put t = 4.52 s into x(t) from your previous question to find X, the distance travelled in the x-direction.

   Put it into y(t) above to find Y, the distance travelled in the y-direction.

  Then calculate R = sqrt(X2 + Y2)

 

3. As for 2, but using vx(t) and vy(t) instead.

 

4. Calculate the angle from tan-1(vy/vx)

Alan  Aug 5, 2017
edited by Alan  Aug 5, 2017

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