499610 In a women\'s 100-m race, accelerating uniformly, Laura takes 1.95 s and

Question

499610 In a women's 100-m race, accelerating uniformly, Laura takes 1.95 s and Healan 3.04 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s. (a) What is the acceleration of each sprinter? (b) What are their respective maximum speeds (c) Which sprinter is ahead at the 6.35-s mark, and by how much? is ahead by 2.64 m. (d) What is the maximum distance by which Healan is behind Laura? Your response differs from the correct answer by more than 10%. Double check your calculations. m At what time does that occur? Your response differs from the correct answer by more than 100%. s

Explanation / Answer

the seperation between laura and healan decreases once laura attains a maximum speed of healan

time taken by laura to reach a speed of vf = 10.8 m/s

vf = aL*t

t = vf/ah = 10.8/3.7 = 2.92 s

distance travelled by healan by t = sh = 0.5*ah*1.95^2 + 10.8*(2.92-1.95)

distance travelled by laura = sL = 0.5*al*t^2

sh - sL = (0.5*5.54*1.95^2)+(10.8*(2.92-1.95)-(0.5*3.7*2.92^2)

maximum seperation = 5.23 m <<----answer

+++++++

time it occurs = 2.92 s <<-----answer

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.