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A particle starting from rest moves in a straight line with acceleration as shown in the a-t graph. Find the distance traveled by the particle in the first four seconds from the start of its motion?

A particle starting from rest moves in a straight line with acceleration as shown in the a-t graph. Find the distance traveled by the particle in the first four seconds from the start of its motion?

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Grade:12th pass

2 Answers

Srujith
12 Points
5 years ago
From the graph we can get equation using y-y1=m(x-x1)=>a-0=-1(t-1),∫adt=v,∫vdt=s
V=∫(-t+1)dt=t^2/2+t=>s=-t^3/6+t^2/2 substituting t=4 will give you s as 0.33
Soumendu Majumdar
159 Points
5 years ago
Hello Srujith,
Your equations are perfectly correct but the required quantity is distance and not displacement so the answer is given as 4 m and not 0.33 m. Please post another answer on how to calculate the distance!
Thanks!
regards,
Soumendu Majumdar

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