Question

A body moving with uniform acceleration of 2m/s² has covered a distance of 1/5 km in 10 seconds. find its initial and final velocity?​​

Answer 1

Answer:

A Rational number between 3 and 4 ishope it's helpful

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Answer 2

${\large{\underline{\underline{\pmb{\frak{Let's\ understand\ the\ concept:-}}}}}}$

☀️ As per the given information, we have a body moving with uniform acceleration of 2m/s² has covered a distance of 1/5 km in 10 seconds. In order to find it's initial and final velocity we have to form an equation according to the second equation of motion. After finding the initial velocity, we can find the final velocity by putting the values in first equation of motion.

${\large{\underline{\underline{\pmb{\frak{Given:-}}}}}}$

• Acceleration of body ( a ) = 2m/s²

• Distance covered ( s  ) = 1/5 km = 200 m  

• Time taken ( t ) = 10 seconds

${\large{\underline{\underline{\pmb{\frak{To\;find:-}}}}}}$

• Initial and final velocity of that moving body.

${\large{\underline{\underline{\pmb{\frak{solution:-}}}}}}$

⍟ As we know that,  

• First equation of motion : v = u + at
• Second equation of motion : ut + ½ at²

❍ In order to find the initial and final velocity of the body we have to put the provided values in the following equations and solve accordingly.

Finding the initial velocity :-

[ By putting the values in the second equation of motion ]  

⇢   200 = ( u × 10 ) + ( ½ × 2 × 10² )  

⇢  200 = ( 10u ) + ( ½ × 2 × 100)  

⇢  200 = ( 10u ) + 100  

⇢  10u = 200 - 100  

⇢  10u = 100  

⇢  u = 100/10  

⇢  u = 10 m/s

Finding the final velocity of body :-

[ By putting the values in first equation of motion ]

⇢  v = 10 + ( 2 × 10 )  

⇢  v = 10 + 20  

⇢  v = 30 m/s

Henceforth,

The initial velocity of the body is 10m/s and final velocity is 30m/s