As part of an exercise program, a woman walks south at a speed of 2.00 m/s for 60.0 minutes. She then turns around and walks north a distanc

Question

As part of an exercise program, a woman walks south at a speed of 2.00 m/s for 60.0 minutes. She then turns around and walks north a distance 3000 m in 25.0 minutes (a) What is the woman’s average velocity during her entire motion?

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Thu Giang 5 years 2021-09-02T12:53:12+00:00 2 Answers 5 views 0

Answers ( )

    0
    2021-09-02T12:54:23+00:00

    Answer:

    0.824m/s

    Explanation:

    To calculate the average velocity we have to find the total distance and the total time

    We have to find the distance and time in each motions

    FIRST MOTION

    The values given are

    Speed= 2m/s , t = 60minutes

    The time has to be converted to seconds. 60×60 = 3600seconds

    Distance= speed×time

    = 2× 3600

    = 7200m

    In the first motion the distance is 7200m and the time is 3600seconds

    SECOND MOTION

    The values given are

    Distance= 3000m

    Time= 25 mins to seconds

    = 25×60

    = 1500 seconds

    In the second motion distance is 3000m and the time is 1500 seconds

    The total distance can be calculated by applying the formular ( d1-d2) since she moved in an opposite direction

    Total distance= 7200-3000

    = 4200m

    The total time (t1+t2) = 1500+3600

    = 5100 seconds

    Therefore, average velocity is calculated by applying the formular

    Total distance/ Total time

    = 4200/5100

    = 0.824m/s South

    Hence the average velocity is 0.824m/s South.

    0
    2021-09-02T12:54:47+00:00

    Answer:

    The woman’s average velocity during her entire motion is 2 m/s

    Explanation:

    Given;

    initial speed of the woman, u =  2.00 m/s

    initial time taken, t₁ = 60 minutes = 3600 seconds

    initial displacement of the woman, x₁ = ?

    final displacement of the woman, x₂ = 3000 m north

    final time taken , t₂ = 25.0 minutes = 1500 seconds

    The woman’s average velocity during her entire motion:

    initial displacement of the woman, x₁ = u x t₁  = 2.00 m/s x 3600 seconds

                                                                               = 7200 m South

    Average \ velocity = \frac{\delta X}{\delta t} = \frac{X_1-X_2}{t_1-t_2} \\\\V_{avg.} = \frac{7200-3000}{3600-1500} = \frac{4200}{2100} = 2 \ m/s

    Therefore, the woman’s average velocity during her entire motion is 2 m/s

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