2018 · Q7
A particle moves with uniform acceleration along a straight line from rest. The percentage increase in displacement during sixth second compared to that in fifth second is about
General KnowledgePhysics
- A11%
- B22%
- C33%
- D44%
Explanation
For a particle starting from rest with uniform acceleration a, the displacement during the nth second is s_n = a(2n-1)/2. Thus s_5 = 9a/2 and s_6 = 11a/2. The increase from the fifth to the sixth second is (11a/2 - 9a/2) / (9a/2) = 2/9, which is about 0.222 or 22%. Hence the displacement during the sixth second is about 22% greater than during the fifth.