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Acceleration is the rate of change in velocity to the change in time. It is denoted by symbol a and is articulated as- acceleration formula 1 The S.I unit for acceleration is meter per second square or m/s2. If t (time taken), v (final velocity) and u (initial velocity) are provided. Then the acceleration is given by the formula velocity in terms of acceleration Acceleration formula 2 acceleration formula 3 Where, Final Velocity is v Initial velocity is u Acceleration is a Time taken is t Distance traveled is s Acceleration Solved Examples Underneath we have provided some sample numerical based on acceleration which might aid you to get an idea of how the formula is made use of: Problem 1: A toy car accelerates from 3 m/s to 5 m/s in 5 s. What is its acceleration? Answer: Given: Initial Velocity u = 3 m/s, Final Velocity v = 5m/s, Time taken t = 5s. Acceleration formula 5 acceleration formula 6 acceleration formula 7 acceleration formula 8 Problem 2: A stone is released into the river from a bridge. It takes 4s for the stone to touch the river’s water surface. Compute the height of the bridge from the water level. Answer: (Initial Velocity) u = 0 (because the stone was at rest), t = 4s (t is Time taken) a = g = 9.8 m/s2, (a is Acceleration due to gravity) distance traveled by stone = Height of bridge = s The distance covered is articulated by Acceleration formula 9 s = 0 + 1/2 × 9.8 × 4 = 19.6 m/s2 Therefore, s = 19.6 m/s2

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