A body is moving from rest under constant acceleration and let S1 be the displacement in the first (p - 1) sec and S2 be the displacement in the first p sec. The displacement in (p² - p + 1)th sec will be -
Answers
Explanation:
The initial velocity of body is zero, u=0
2rd equation of motion,
S=ut+1/2at²
S=1/2at² . . . . .. .(1)
The displacement in time (P−1) sec is
S1=1/2a(P−1)². . . . .(2)
The displacement at time P sec,
S2=1/2aP². . . . . .(3)
Adding equation (2) and (3), we get
S1+S2=1/2a(2P²−2P+1). . . . . .(4)
The displacement at time (p2−P+1)nsec
S=1/2a(2P²−2P+1). . . . .(5)
From equation (4) and (5),
S=S1+S2
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Answer:
The initial velocity of body is zero, u=0
2rd equation of motion,
S=ut+21at2
S=21at2. . . . . .. .(1)
The displacement in time (P−1) sec is
S1=21a(P−1)2. . . . .(2)
The displacement at time P sec,
S2=21aP2. . . . . .(3)
Adding equation (2) and (3), we get
S1+S2=21a(2P2−2P+1). . . . . .(4)
The displacement at time (p2−P+1)nsec
S=21a(2P2−2P+1). . . . .(5)
From equation (4) and (5),
S=S1+S2
Explanation:
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