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A particle with a velocity of $2 m/s$ at t = 0 moves along a straight line with a constant acceleration of $0 .2 {m/s}^{2}$ . Find the displacement of the particle in 10 s.

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40 m

35 m

50 m

30 m

answer is B.

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Detailed Solution

u = 2 m/s

$a = 0 .2 {m/s}^{2}$

$t = 10 s$

$s = ut + \frac{1}{2} {at}^{2}$

$= 2 (10) + \frac{1}{2} (0.2) {(10)}^{2}$

$= 20 + \frac{1}{2} \times \frac{2}{10} \times 100$

$= 20 + 10 = 30 m$

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