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10 Nov 2019

An object moves in a circular path at a constant speed. Compare thedirection of the object's velocity and acceleration vectors.

A.) The vectors are perpendicular.
B.) Both vectors point in the same direction.
C.) The vectors point in opposite directions.
D.) The question is meaningless, since the acceleration is zero.

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Elin Hessel
Elin HesselLv2
8 Jul 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A particle moves along a circular path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? 

(a) when the path is circular

(b) when the path is straight

(c) when the path is a parabola

 

(ii) From the same choices, in which case are its acceleration and velocity vectors perpendicular everywhere along the path?

 

A) The vectors point in opposite directions
B) The vectors are perpendicular
C) Both vectors point in the same direction
D) The question is meanless, since the acceleration is zero

  1. An object moves clockwise with decreasing speed around an oval track. The velocity vectors at points G and H arc shown.

a. In the space at right, copy the velocity vectors  and  . From these vectors, determine the change in velocity vector .

b. If point H were chosen to lie closer to point G, describe how  would change (direction and magnitude).

 

c. Describe how you would determine the acceleration (direction and magnitude) at point

G. In the space at right, indicate the direction of the acceleration of the object at point G.

d. Copy  and  (placed "tail-to-tail") in the space at right. How does the angle between the acceleration and velocity vectors compare to 900? (i.e., Is the angle greater than, less than, or equal to 90°?)

e.

Generalize your results above and from tutorial to answer the following question:

For an object moving along a curved trajectory, how does the angle between the acceleration and velocity vectors compare to 90° if the object moves with (i) constant speed, (ii) increasing speed, and (iii) decreasing speed?

 


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