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The velocity of a particle moving with a uniform acceleration of $10 {ms}^{- 2}$ after $5s$ is $50 {ms}^{- 1}$ . Its velocity at $t = 4s$ is

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10 {ms}^{- 1}

30 {ms}^{- 1}

20 {ms}^{- 1}

40 {ms}^{- 1}

answer is D.

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Detailed Solution

a = 10 {ms}^{- 1}, t = 5S

$v = 50 {ms}^{- 1} t = 4S$

$v = u + at$

$u = v-at$

$u = 50 - 10 \times (5)$

$u = 50 - 50 = 0 m / s$

$v = u + at$

$v = 0 + 10 (4)$

$v = 40 m / s$

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