Preliminary Questions

Question 13.259

If a particle travels with constant speed, must its acceleration vector be zero? Explain.

Question 13.260

For a particle in uniform circular motion around a circle, which of the vectors v(t) or a(t) always points toward the center of the circle?

Question 13.261

Two objects travel to the right along the parabola y = x2 with nonzero speed. Which of the following statements must be true?

  • Their velocity vectors point in the same direction.

  • Their velocity vectors have the same length.

  • Their acceleration vectors point in the same direction.

Question 13.262

Use the decomposition of acceleration into tangential and normal components to explain the following statement: If the speed is constant, then the acceleration and velocity vectors are orthogonal.

Question 13.263

If a particle travels along a straight line, then the acceleration and velocity vectors are (choose the correct description):

  • Orthogonal

  • Parallel

Question 13.264

What is the length of the acceleration vector of a particle traveling around a circle of radius 2 cm with constant velocity 4 cm/s?

Question 13.265

Two cars are racing around a circular track. If, at a certain moment, both of their speedometers read 110 mph. then the two cars have the same (choose one):

  • aT

  • aN

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