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An object is in unifrom motion along a ...

An object is in unifrom motion along a straight line . What will be position-time graph for themotion of the object if
(a) ` x_(0_=+ve, v=+ ve (b) x_(0) =+ ve, v =- ve (c ) `x_(0) =- ve, v= + ve and (d) both `x_(0)` and `v` are negative ? The letters ` x_(0)` and `v` position of theobject at time `t=0` and v` represent posituion of the object at time `t=0` and uniform velocity of theobject respectively.

Text Solution

AI Generated Solution

To solve the problem of determining the position-time graph for an object in uniform motion under different conditions of initial position \( x_0 \) and velocity \( v \), we need to analyze each case step by step. ### Step-by-Step Solution: 1. **Understanding the Position-Time Equation**: The position of an object at time \( t \) can be described by the equation: \[ x(t) = x_0 + vt ...
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Knowledge Check

  • Observe the following compound and select +ve & -ve test respectively.

    A
    `+ + + -`
    B
    `+ + + +`
    C
    `+ - + -`
    D
    `+ - - +`

  • Observe the following compound and select +ve & -ve test respectively

    A
    `+ + + -`
    B
    `+ + + + `
    C
    ` + - + -`
    D
    `+ - - + `

  • The position of a particle at time t is given by the relation x (t) = (v_(0))/(A) (1 - e^(-At)) , where v_(0) is constant and A gt 0 . The dimensions of v_(0) and A respectively

    A
    `[M^(0) LT^(0)]` and `[T^(-1)]`
    B
    `[M^(0) LT^(-1)]` and `[T^(-2)]`
    C
    `[M^(0) LT^(-1)]` and `[T]`
    D
    `[M^(0) LT^(-1)]` and `[T^(-1)]`