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Question

A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 2 m/s2  till it stops. What is the distance travelled by it
  1. 800 m
  2. 750 m
  3. 700 m
  4. 850 m


Solution

The correct option is B 750 m

Velocity acquired by body in 10 sec

         v=0+2×10=20 m/s

and distance travelled by it in 10 sec

         S1=12×2×(10)2=100 m

then it moves with constant velocity (20 m/s)     for 30 sec

         S2=20×30=600 m

After that due to retardation (4 m/s2) it stops

S3=v22a=(20)22×4=50 m
So total distance travelled is 750 m.

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