A particle starts from rest, accelerates at 2 m/s² for 10 s and then goes for constant speed for 30 s and then decelerates at 4 m/s² till it stops. What is the distance travelled by it?

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800 m

700 m

850 m

750 m

answer is A.

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Detailed Solution

$s = s_{1} + s_{2} + s_{3}$

$= [\frac{1}{2} a_{1} t_{1}^{2}] + [(a_{1} t_{1}) t_{2}] + [\frac{{(a_{1} t_{1})}^{2}}{2 \times |a_{2}|}]$

$= \frac{1}{2} \times 2 \times {(10)}^{2} + (2) (10) (30) + \frac{{(2 \times 10)}^{2}}{2 \times 4} = 100 + 600 + 50 = 750 m$

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