A particle starts from rest, accelerates at \( 2 \mathrm{~m} / \mathrm{s}^{2} \) for \( 10 \math...

A particle starts from rest, accelerates at \( 2 \mathrm{~m} / \mathrm{s}^{2} \) for \( 10 \mathrm{~s} \) and then goes with constant speed for 30 s and then decelerates at \( 4 \mathrm{~m} / \mathrm{s}^{2} \) till it stops. What is the distance travelled by it
[DCE 2001; AIIMS 2002; DCE 2003]
(a) \( 750 \mathrm{~m} \)
(b) \( 800 \mathrm{~m} \)
(c) \( 700 \mathrm{~m} \)
(d) \( 850 \mathrm{~m} \)