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Help find instantaneous velocity at X seconds?

http://i.imgur.com/AbHz5AO.png <-- Chart and questions in a image

The position versus time for a certain object moving along the x-axis is shown. The objects intial postion is -3m.

Find the instantaneous velocity at 0.5s?

Answer in units of m/s

Find the instantaneous velocity at 2.5s?

Answer in units of m/s

Find the instantaneous velocity at 4.5s?

Answer in units of m/s

Find the instantaneous velocity at 8.5s?

Answer in units of m/s

Thank you for your time helping me.

1 Answer

Relevance
  • 8 years ago
    Favorite Answer

    v = ds/dt so calculate the slope at each point:

    t=0.5 s:

    v = (10 - (-3)) m / 1s = 13 m/s

    t=2.5 s:

    v = (5 - 10)m / (4-1)s = -5/3 m/s = -1.67 m/s

    t=4.5 s:

    v = 0 (horizontal line= 0 slope)

    t=8.5 s:

    v = (0 - (-5))m / 1s = 5 m/s

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