three equations of motion by derivation
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- Acceleration = Change in velocity/Time Taken
Acceleration = Change in velocity/Time TakenTherefore, Acceleration = (Final Velocity-Initial Velocity) / Time Taken
Acceleration = Change in velocity/Time TakenTherefore, Acceleration = (Final Velocity-Initial Velocity) / Time TakenHence, a = v-u /t or at = v-u
Acceleration = Change in velocity/Time TakenTherefore, Acceleration = (Final Velocity-Initial Velocity) / Time TakenHence, a = v-u /t or at = v-uTherefore, we have: v = u + at
- Average velocity = (final velocity + initial velocty)/2 = (v+u)/2
Hence, Distance (s) = [(v+u)/2] × [(v-u)/a]
or s = (v² – u²)/2a
or 2as = v² – u²
- or v² = u² + 2asDistance = Average velocity × Time. Also, Average velocity = (u+v)/2
Therefore, Distance (s) = (u+v)/2 × t
Also, from v = u + at, we have:
s = (u+u+at)/2 × t = (2u+at)/2 × t
s = (2ut+at²)/2 = 2ut/2 + at²/2
or s = ut +½ at²
hope it'll help u......
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