\left\{ \begin{array} { l } { 350 = v \cdot t } \\ { 0 = v - a ( 10 - t ) } \\ { 500 = 350 + v ( 10 - t ) - \frac { 1 } { 2 } a ( 10 - t ) ^ { 2 } } \end{array} \right.
Solve for v, t, a
t = \frac{70}{13} = 5\frac{5}{13} \approx 5.384615385
v=65
a = \frac{169}{12} = 14\frac{1}{12} \approx 14.083333333
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