Question

"17 The position of a particle moving along the x axis is given in centimeters byx 9.75+1.50r3, where t is in seconds. Calculate (a) the average velocity during the time interval 2.00 s to 3.00 s; (b) the instantaneous velocity at t 2.00 s, (c) the instantaneous ve- locity at t- 3.00 s; (d) the instantaneous velocity at t- 2.50 s; and (e) the instantaneous velocity when the particle is midway between its positions at t-2.00 s and t 3.00 s. (f) Graph x versus t and in- dicate your answers graphically. S, S,

1. From the previous problem, Problem 2.17, answer the questions below; (20=3+3+4+5+5 points)
   1. Does the particle stop for time t between -4 s and +4 s? If it stops, when? Explain your answer.
   2. Does this particle change direction? Explain your answer.
   3. Describe the motion of the particle for time t between -4 s and +4 s.
   4. Graph v(t) versus t for -4 s≤ t ≤ 4 s.
      [Please use a graph sheet to answer f). You can download and print it out from BB. Make sure to have proper labels and scales for both axes.]
   5. Graph a(t) versus t for -4 s ≤ t ≤ 4 s. [Please use a graph sheet.]

Answer 1

$Solo: To ouig alonq \Ko 저icle movin loher2 x(3) q,3)3. So.3j$