The formula for finding acceleration is:

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RPF SI (2018) Official Paper (Held On : 10 Jan 2019 Shift 3)
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  1. (v x t) 
  2. (1/t)
  3. (W/t)
  4. (v - u)/t

Answer (Detailed Solution Below)

Option 4 : (v - u)/t
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The correct answer is (v-u)/t.

CONCEPT:

  • Acceleration: The rate of change in velocity is called acceleration. It is denoted by a.
    • The SI unit of acceleration is m/s2.
  • Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
  • V = u + at
  • Where, V = final velocity, u = initial velocity, a = acceleration of body under motion, and t = time taken by the body under motion.

EXPLANATION:

From the above equation of motion:

V = u + a t

So a = (V - u)/t

  • The formula for finding acceleration is (v-u) / t. So option 4 is correct.

Additional Information

  • The product of velocity and time (v t) represents the displacement of a body which represents the shortest distance between two points.
  • The reciprocal of time (1 / t) represents the frequency of oscillations which gives the value of the total number of oscillations in the given time.
  • The work per unit time (W / t) represents power which is the measurement of the rate of doing work.
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