solving equation of motion Given an accelaration vector,initial velocity ⟨0,10⟩,and initial position ⟨x0,y0⟩,find the velocity and position vectors t≥0 a(t)=⟨0,10⟩,⟨u0,v0⟩=⟨0,5⟩,⟨x0,y0⟩=⟨1,−1⟩

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solving equation of motion  Given an accelaration vector,initial velocity ⟨0,10⟩,and initial position ⟨x0,y0⟩,find the velocity and position vectors t≥0   a(t)=⟨0,10⟩,⟨u0,v0⟩=⟨0,5⟩,⟨x0,y0⟩=⟨1,−1⟩

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Given vectors are  a(t)=⟨0,10⟩,⟨u0,v0⟩=⟨0,5⟩,⟨x0,y0⟩=⟨1,−1⟩  Obtain the velocity vector.  v(t)=∫a(t)dt  =∫&amp;lt;0,10&amp;gt;dt  =&amp;lt;1,10t&amp;gt;+c  c=&amp;lt;u0,v0≥&amp;lt;0,5&amp;gt;  v(t)=&amp;lt;1,10t&amp;gt;+&amp;lt;0,5&amp;gt;  =&amp;lt;1,10t+5&amp;gt;  Obtain the position vector  r(t)=∫&amp;lt;1,10t+5&amp;gt;dt  =&amp;lt;t,5t2+5t&amp;gt;+d  d=&amp;lt;x0,y0≥&amp;lt;1,−1&amp;gt;  =&amp;lt;1+t,5t2+5t−1&amp;gt;

solving equation of motion Given an accelaration vector,initial velocity langle0,10rangle,and initial position langle x_{0},y_{0}rangle,find the velocity and position vectors tgeq0 a(t)=langle0,10rangle,langle u_{0},v_{0}rangle=langle0,5rangle,langle x_{0},y_{0}rangle=langle1,-1rangle

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