The second equation of motion gives the displacement of an object under constant acceleration:
S=V(initial) t+ ,
S - travelled distance,
V(initial) - initial velocity,
t - spent time and
a - acceleration.
Let`s to proof it:
We saw above the Second Equation of Motion
S=V(initial) t+
Derivation We know that Velocity = If Velocity is not constant (i.e. Velocity keeps on increasing or decreasing) We can also take Average Velocity in place of Velocity.
So our formula becomes Displacement = Average Velocity Time
Displacement = Time
S=t, V(final)- final velocity.
From first equation of motion, we know that: V(final)=V(initial)+at, a - acceleration.
Putting value of Vf in this equation:
S=,
S=(V(initial)+)t
S=V(initial) t+ . So that is answer!
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