A body starts moving from rest with constant acceleration covers displacement S1 in first (p-1) seconds and S2 in first p seconds. The displacement S1+S2 will be made in time :
- (2p+1) s
- (2p-1) s
- (2p2-2p+1 )s
- (2p2-2p+1 ) s
Answer
(4) (2p2-2p+1 ) s
Solution
From rest: S= 12at2
S1= 12a(p-1)2, S2= 12ap2
Let S1+S2 be covered in time t:
12at2= 12a [(p-1)2+p2 ]
t2=2p2-2p+1
t= 2p2-2p+1 s
Answer: (4)