Solve {l}{S=S_{0}+Vt+at^2/2}{t=15}{S_{0}=0}{V=1134*5}{a=2}{b=25}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { S = S_{0} + V t + \frac{a t ^ {2}}{2} }\\ { t = 15 }\\ { S_{0} = 0 }\\ { V = 1134 \cdot 5 }\\ { a = 2 }\\ { b = 25 }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Solve for S, S_0, V, t, a, b, c

$$c=25$$

Solution Steps

Consider the fourth equation. Multiply 1134 and 5 to get 5670.

$$V=5670$$

Consider the first equation. Insert the known values of variables into the equation.

$$S=0+5670\times 15+\frac{2\times 15^{2}}{2}$$

Multiply 5670 and 15 to get 85050.

$$S=0+85050+\frac{2\times 15^{2}}{2}$$

Add 0 and 85050 to get 85050.

$$S=85050+\frac{2\times 15^{2}}{2}$$

Cancel out 2 and 2.

$$S=85050+15^{2}$$

Calculate 15 to the power of 2 and get 225.

$$S=85050+225$$

Add 85050 and 225 to get 85275.

$$S=85275$$

The system is now solved.

$$S=85275 S_{0}=0 V=5670 t=15 a=2 b=25 c=25$$