answer
60.1667 [tex]\frac{m}{s^2}[/tex]
explanation
there are four main kinematic formulas that we use in physics
[tex]v_{f}= v_{o}+at\\x =\frac{t(v_{f}+v_o)}{2} \\x = v_ot + \frac{at^2}{2} \\{v_{f}}^2 = {v_o}^2 + 2ax[/tex]
[tex]v_f[/tex] = final velocity
[tex]v_o[/tex] = initial velocity
a = acceleration
t = time
x = displacement
we use an equation based on what information we have
in this question, we have initial velocity (0), final velocity, (38), displacement (12), and we want to find acceleration
so we use the equation that includes [tex]v_o, v_f, x, a[/tex]
which is this equation [tex]{v_{f}}^2 = {v_o}^2 + 2ax[/tex]
rearrange to solve for a
[tex]{v_{f}}^2 = {v_o}^2 + 2ax\\{v_{f}}^2}-{v_o}^2 = 2ax\\a = \frac{{v_f}^2-{v_o}^2}{2x} \\[/tex]
plug in values
[tex]a = \frac{{v_f}^2-{v_o}^2}{2x}\\\\a = \frac{{38}^2-{0}^2}{2*12}\\\\a = \frac{1444}{24} \\\\a = 60.1667[/tex]
