Question

Derive the following
1) v=u+at
2) $s=ut+1/2{at}^{2}$

Answer 1

Answer:

HEY MATE,

HERE'S YOUR ANSWER.

=> 1) v = u + at

• Consider a body of mass “m” having initial velocity “u”.
• Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.
• Now we know that: Acceleration = change in velocity/Time taken.
• => a = v-u /t
• or, at = v-u.
• or, at = v-u.
• or, v = u + at.

(Derived)

=> 2) s = ut + 1⁄2at

• Consider an object which has travelled displacement ''s'' in the time ''t'' under uniform acceleration ''a''.
• Let intial velocity of the object be ''u'' and the final velocity ''v''.
• s = 1⁄2t(u + v)---(1) [from the veocity relation]
• v = u + at ------(2)

Substituting equation--(1) in (2), we get,

• s = 1⁄2t(u + u + at)
• s = 1⁄2t(2u + at)
• s = ut + 1⁄2at²

(Derived)

HOPE IT HELPS YOU✌✌✌✌✌✌

Answer 2

Answer:

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Explanation:

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