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13 December, 22:22

An object starts at position - 2m with an initial velocity of - 4 m/s and a constant acceleration of + 3 m/s^2.

a. In which direction is the object traveling initially?

b. What will be the object's velocity after 1s, 2s, 3s?

c. What will the objects position be after 3s?

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Answers (1)
  1. 13 December, 22:35
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    here is the answer

    Explanation:

    a) since displacement is given as a negative value, object must travelling i the negative direction (with respect to a cartesian plane).

    b) after 1 second

    v = u + at

    v = - 4 + 3 * 1

    v = - 4 + 3

    v = - 1 m/s

    after 2 seconds

    v = - 4 + 3*2

    v = - 4 + 6

    v = 2 m/s

    after 3 seconds

    v = - 4 + 3*3

    v = - 4 + 9

    v = 5 m/s

    c) we need to find the position after three seconds

    initial velocity = u = - 4m/s

    final velocity = v = 5 m/s (as previously calculated)

    acceleration=3m/s²

    s = ut + 1/2 * at²

    s = - 4*3 + 1/2 * 3 * (3) ²

    s = - 12 + 1/2 * 27

    s = - 12 + 27/2

    s = 1.5 meters (in the positive direction; as time has increased and acceleration in positive)

    position = - 2 + 1.5 = - 0.5 meters

    (s indicates distance travelled)
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