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6. Sean is running a 100 m dash. When the starters pistol fires, he leaves the starting block and continues speeding up until 6 s into the race, when he reaches his top speed of 11 m/s. He holds this speed for 2 s; then his speed has slowed to 10 m/s by the time he crosses the finish line 11 s after he started the race.
List of Equations (Use only if the problem must be solved in terms of vectors) 3) d,-xf-Xi or 4) d=d1 + d2 + dy-yr-yi (Do not use if #2 applies) (Use only if the problem must be solved in terms of vectors) 7) uk dx/ t or vy dy/ t (Do not use if #6 applies) ,8) s=l/ht 9) [Cycle Length]/[Cycle Time] 10) [Cycle Length] x [Cycle Rate] 11) V2 = V1 + U2/1 (Do not use if #7 or #9 applies) 13) (vr-vi)/dt Δν/Δε (Use only if the problem must be solved in terms a or of vectors) (Do not use if #13 applies) (Do not use if #7 applies) (Do not use if #7 applies) 泌, 16) に(v, + ur)at d-v, t + ()a(At)2 Note: In any equation that includes At, you may substitute (ty -t) in place of At and consider it to be the same equation.
11) Chapter 2, Problem 6 Assume that described in this problem. i) (Ipt) What equation is most appropriate for estimating, based only on the information Sean starts from rest and his motion is in a straight line during the 100 m race given in the text tbook, how far Sean will travel from when he leaves the starting block is acceleration is constant over this period. ii) (1 pt) It can be determined that Seans average acceleration over the first 6 s of the 100 m race is 1.83 m/s2 in the forward direction. Which of the following changes would cause Sean to reach a top speed of greater than 11 m/s? a. (T/ F) He accelerates forward at 1.83 m/s over the first 6.5 s of the race, then holds the resulting speed until he begins to slow down b. (T/F) He accelerates forward at 1.87 m/s over the first 6 s of the race, then holds the resulting speed until he begins to slow down iii) (0.5 pt) In what direction was Seans averag e acceleration over the last 3 s of the 100 m race? A. Forward, towards the finish line B. Backwards, towards the starting block C. Cannot be determined from the information given iv) (0.5 pt) Which of the following must have occurred during the last 3 s of the 100 m race? Note: 1 stride 1 cycle A. Seans stride length decreased B. Seans stride rate decreased C. Seans stride time decreased D. Could be (A) and/or (B) E. Could be (A) and/or (C)
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