Question
Question: A particle experiences a fixed acceleration for 6s after starting from rest. It covers a distance of...
A particle experiences a fixed acceleration for 6s after starting from rest. It covers a distance of s1in first two seconds, s2in the next 2 seconds and s3in the last 2 seconds then s3: s2: s1is
A
1:3:5
B
5:3: 1
C
1:2:3
D
3 :2 :1
Answer
5:3: 1
Explanation
Solution
S1 = 1/2 at2 = 1/2 a × 22 = 2a ………. (i)
S1 + S2 = 1/2a × (2 + 2)2 = 8a ………. (ii)
S1+ S2 + S3 = 1/2a × (2 + 2 + 2)2= 18 a ………. (iii)
Total time = 32 + time required to cover last 5 steps
= 32 + 5 = 37 s.