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A body covers 20 m distance …

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A body covers 20 m distance in first 2 secs and 40 m distance in next 3 secs.Find its initial velocity and acceleration

  • 1 answers

Sahdev Sharma 8 years, 4 months ago

Let initial velocity = u

Acceleration = a

Using equation

{tex}s = ut+{1\over 2}at^2{/tex}

For first 2 sec

{tex}20 = 2u+{1\over 2}4a{/tex}

{tex}20 = 2u+2a{/tex}

{tex}10=u+a \ ....... (1){/tex}

Now distance covered in 2 to 5 sec is given 40m

{tex}40 = 5u+{1\over 2}25a-20{/tex}

=> 120 = 10u +25 a

=> 24 = 2u+5a ....(2)

Solving (1) and (2), we get

{tex}a= {4\over 3}\ m/s^2{/tex}

And u {tex}={26\over 3}\ m/s{/tex}

 

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