Question 1123033
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Let me apply the Energy conservation law.


The change of kinetic energy is  {{{(mV^2)/2}}} - {{{(mV[0]^2)/2}}}.


The work of the force which provided the given acceleration "a", is  (ma)*d,

where d is the distance (of 33 m in your case).


So, the conservation of energy gives an equation


    {{{(mV^2)/2}}} - {{{(mV[0]^2)/2}}} = ma*d.


Cancel the mass "m" in both sides.  You will get


    {{{(V^2)/2}}} - {{{(V[0]^2)/2}}} = a*d.


Hence,  {{{V^2/2}}} = ad + {{{(V[0]^2)/2}}}, 

and finally


    V = {{{sqrt(V[0]^2 + 2ad)}}}.


Now substitute the given values into the formula and calculate the answer.
</pre>


It is, probably, the shortest way to solve the problem and to explain the solution.



Did I pass your exam ?


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