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Math Help - vector calculus

  1. #1
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    vector calculus

    at time t=0 particle is located at (1,2,3) it travels in a straight line to the point (4,1,4) has a speed 2 at (1,2,3) and a constant acceleration 3i-j+k find the equation for the position vector r(t) of the particle at time t.

    do i have to apply equation of motion in this
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  2. #2
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    Re: vector calculus

    Hey prasum.

    Show us what you have tried (but as a hint: you should get quadratic functions in your final displacement vectors when seen as a function of time).
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  3. #3
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    Re: vector calculus

    i used vx=ux+axt (vx=velocity of particle along x axis)
    and similarly vy and vz but i donts know the components of u ie ux,uy,uz all we know is that u=2m/s

    then i used s=ut+1/2at2 along x,y and z axis respectively but if i do know ux how will i solve the equation
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  4. #4
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    Re: vector calculus

    Use your initial conditions: You have r(t) (r is a vector with r<x(t),y(t),z(t)>) and r(0) so solve for your initial conditions.

    The only thing you will have to decide is the starting velocity and the object is still before it moves then v(0) = 0 (or the zero vector).

    You also need to add a constant of integration for the displacement and use your initial condition to get the constant (which will equal the starting position of the object).
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