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9 November, 14:20

The position of an object moving along the x

axis is given by x (t) = 2t^2+t^3 + 1, where x is

in meters and t in seconds. The acceleration of

the object at t = 2 seconds is:

4m/s?

+2
Answers (1)
  1. 9 November, 17:45
    0
    Answer: 16 meters per second

    Explanation:

    The derivative of the position is the velocity.

    The derivative of the velocity is the acceleration.

    x (t) = 2t² + t³ + 1

    x' (t) = v (t) = 4t + 3t²

    x'' (t) = v' (t) = a (t) = 4 + 6t

    a (2) = 4 + 6 (2)

    = 4 + 12

    = 16
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