A body moving with a velocity u, accelerate uniformly for my for time t to cover a distance it's acceleration Expressed in term of the given variables is ?

Physics

ScanSolve AI Answer

Answer

a=2(s−ut)t2a = \frac{2(s - ut)}{t^2}

Step-by-step solution

3 steps

To express the acceleration in terms of the given variables, we will use one of the equations of motion.

  1. Identify the given variables and the unknown.

    Given:
    Initial velocity = uu
    Time = tt
    Distance covered = ss
    Unknown: Acceleration = aa

  2. Select the appropriate equation of motion.

    The equation that relates distance (ss), initial velocity (uu), time (tt), and acceleration (aa) is:

    s=ut+12at2s = ut + \frac{1}{2}at^2
  3. Rearrange the equation to solve for aa.

    First, subtract utut from both sides:

    s−ut=12at2s - ut = \frac{1}{2}at^2

    Next, multiply both sides by 2:

    2(s−ut)=at22(s - ut) = at^2

    Finally, divide both sides by t2t^2:

    a=2(s−ut)t2a = \frac{2(s - ut)}{t^2}
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