Question

find velocity of the body of if initial velocity is 10m/s,acceleration-10m/s and time. taken is 1seced​

Answer 1

Answer :

Question :–

Find the Final Velocity of the body if Initial Velocity of the body is 10 m/s , the Acceleration produced is (-10) m/s² and the time taken is 1 second.

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To Find :–

The Final Velocity of the body.

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Given :–

• Initial Velocity = 10 m/s

• Accelaration = -10 m/s²

• Time Taken = 1 s

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We know :-

⠀⠀⠀⠀⠀⠀⠀First Equation of Motion :–

$\boxed{\underline{\bf{v = u + at}}}$

Where :-

• v = Final Velocity

• u = Initial Velocity

• a = Acceleration Produced

• t = Time Taken

Concept :-

• The Acceleration Produced is negative when the object is declarating or retarding.

⠀⠀⠀This is termed as Retardation.

• In Retardation , the Final Velocity is lesser than the initial velocity of the object.

• The final Velocity of the body will be 0 , if the body has come to rest.

Solution :-

Given :-

• u = 10 m/s

• a = - 10 m/s

• t = 1 s

Let the final Velocity be v m/s.

Using the First Equation of Motion and substituting the values in it, we get :-

$:\implies \bf{v = u + at} \\ \\ \\ :\implies \bf{v = 10 + (-10) \times 1} \\ \\ \\ :\implies \bf{v = 10 + (-10)} \\ \\ \\ :\implies \bf{v = 10 -10} \\ \\ \\ :\implies \bf{v = 0} \\ \\ \\ \therefore \purple{\bf{v = 0 ms^{-1}}}$

Hence, the final Velocity of the object is 0 m/s.