Home
Class 11
PHYSICS
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`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    DC PANDEY|Exercise Exercise 6.6|5 Videos
  • KINEMATICS

    DC PANDEY|Exercise Exercise 6.7|3 Videos
  • KINEMATICS

    DC PANDEY|Exercise Exercise 6.4|2 Videos
  • GRAVITATION

    DC PANDEY|Exercise (C) Chapter Exercises|45 Videos
  • KINEMATICS 1

    DC PANDEY|Exercise INTEGER_TYPE|15 Videos

Similar Questions

Explore conceptually related problems

Check the accuracy of the relation s = ut + (1)/(2)at^(2) where s is the distance travelled by the with uniform acceleration a in time t and having initial velocity u.

Check the correctness of the relation s_(t) = u+ (a)/(2) (2t-1) where u is initial velocity a is acceleration and s_(t) is the diplacement of the body in t^(th) second .

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)`
  • Similar Questions

    Explore conceptually related problems

    Derive dimensionally the relation s = ut +(1)/(2)f t^(2) .

    Chek the correctness of the relation, S_(n_(th)) = u +(a)/(2)(2n -1), where u is initial velocity, a is acceleratin and S_(n_(th)) is the distance travelled by the body in nth second.

    The displacement x of a particle is dependent on time t according to the relation : x = 3 - 5t + 2t^(2) . If t is measured in seconds and s in metres, find its velocity at t = 2s.

    Prove the following relations by calculus method: v^2-u^2=2as

    Equation s_t=u + at - 1/2 a does not seem dimensionally correct, why?

    Let R be the real line. Consider the following subsets of the plane RxxR . S""=""{(x ,""y)"":""y""=""x""+""1""a n d""0""<""x""<""2},""T""=""{(x ,""y)"":""x-y"" is an integer }. Which one of the following is true? (1) neither S nor T is an equivalence relation on R (2) both S and T are equivalence relations on R (3) S is an equivalence relation on R but T is not (4) T is an equivalence relation on R but S is not