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A body accelerates from rest at 0.2m/s2 for one-fifth of a minute - calculate the distance covered by the body.

Physics

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Answer

14.4 m\text{14.4 m}

Step-by-step solution

3 steps
  1. Convert the time to seconds.

    The time given is one fifth of a minute.

    t=15×60 s=12 st = \frac{1}{5} \times 60 \text{ s} = 12 \text{ s}
  2. Identify the given values and the appropriate kinematic equation.

    The body accelerates from rest, so the initial velocity u=0 m/su = 0 \text{ m/s}.
    The acceleration a=0.2 m/s2a = 0.2 \text{ m/s}^2.
    The time t=12 st = 12 \text{ s}.
    We need to find the distance covered, ss.
    The relevant kinematic equation is:

    s=ut+12at2s = ut + \frac{1}{2}at^2
  3. Substitute the values into the equation and calculate the distance.

    s=(0 m/s)(12 s)+12(0.2 m/s2)(12 s)2s = (0 \text{ m/s})(12 \text{ s}) + \frac{1}{2}(0.2 \text{ m/s}^2)(12 \text{ s})^2 s=0+12(0.2 m/s2)(144 s2)s = 0 + \frac{1}{2}(0.2 \text{ m/s}^2)(144 \text{ s}^2) s=0.1 m/s2×144 s2s = 0.1 \text{ m/s}^2 \times 144 \text{ s}^2 s=14.4 ms = 14.4 \text{ m}

    The distance covered by the body is 14.4 m\text{14.4 m}.

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