A particle starts with an initial velocity of 10 . 0 ms ^ - 1 along...

A particle starts with an initial velocity of $10 . 0{ms}^{- 1}$ along $x$ -direction and accelerates uniformly at the rate of $2 . 0m{s}^{- 2}$ . The time taken by the particle to reach the velocity of $60 . 0m{s}^{- 1}$ is _____.

Options

A $25s$
B $3s$
C $6s$
D $30s$

Correct answer

A. $25s$

Step-by-step solution

The given data is
$v = 60m{s}^{- 1}u = 10m{s}^{- 1}a = 2m{s}^{- 2}$
Using the equation $v = u + at$ , we get
$60 = 10 + 2t ⇒ t = \dfrac{\left(60 - 10\right)}{2} ⇒ t = 25s$

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