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Prove the relation, st=u + at - 1/2 a....

Prove the relation, `s_t=u + at - 1/2 a.`

Text Solution

Verified by Experts

The correct Answer is:
A
`S_t=("displacement upto t sencond")`
`-["displacement upto (t-1)sec"]`
`=ut+1/2 at^(2)-[u(t-1)+1/2a(t-1)^2]`
`=u+at-1/2 a`
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Knowledge Check

  • Which one of the following is the equation for Position - Time relation? A) S= "ut" +1//2 "at"^2 B) V = u + at C) U = y + at D) 2as = v^2 – u^2

    A
    `S= "ut" +1//2 "at"^2`
    B
    V = u + at
    C
    U = y + at
    D
    `2as = v^2 – u^2`

  • The velocity of particle at time t is given by the relation v=6t-(t^(2))/(6) . The distance traveled in 3 s is, if s=0 at t=0

    A
    `(39)/(2)`
    B
    `(57)/(2)`
    C
    `(51)/(2)`
    D
    `(33)/(2)`