state and prove 1st equation of motion.
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Answer:
The first equation of motion is:
v = u + at
where, v is the final velocity, u is the initial velocity, a is the acceleration and t is time taken.
Explanation:
As we know that,
The formula of Acceleration = (v - u ) /t
a = (v - u) / t
=> at = v - u
=> u + at = v
[ .°. v = u + at ]
or
Let us consider a body moving with uniform acceleration in a straight line.
The initial velocity is = u
The velocity at the end of one second is = u + a
The velocity at the end of two seconds is = u + 2a
The velocity at the end of three seconds is = u + 3a
The velocity at the end of t seconds is = u + ta
Therefore, the velocity at the end of "t" seconds that means the final velocity is equal to = u + at
.°. v = u + at
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