Open-Response Homework Problem 3.2 Two people are standing at x = 3 m. At t = 5

Question

Open-Response Homework Problem 3.2 Two people are standing at x = 3 m. At t = 5 s, they begin running in opposite directions with constant speeds. Person A runs until he stops at x = 28 m at t = 15 s. Person B runs until she stops at x = 9 m at t = 9 s. (a)[3 pts] What are the distances traveled by each person? (b)[4 pts] What are the displacements of each person? (c)[4 pts] What are the speeds of each person while they are moving? (d)[4 pts] What are the average velocities of each person for their motions?

Explanation / Answer

a) distance treveled by running in +ve direction = 28 -3 = 25 m

distance treveled by running in -ve direction = 3- (-9) = 12 m

b) displacement for running in +ve direction = 25 m

displacement for running in -ve direction = -12m

c) speed of +ve direction person = 25/(15-5) = 2.5 m/s

speed of -ve direction person = 12/(9-5) = 3 m/s

d) arevrage velocity form +ve = 2.5 + 3 = 5.5 m/s

arevrage velocity form -ve =- 2.5 - 3 = - 5.5 m/s

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