In the 4.10 seconds that elapsed, Ben reaches a velocity of
[tex]v_f=v_0+at\implies v_f=0\,\dfrac{\mathrm m}{\mathrm s}+\left(6.00\,\dfrac{\mathrm m}{\mathrm s^2}\right)(4.10\,\mathrm s)[/tex]
[tex]\implies v_f=24.6\,\dfrac{\mathrm m}{\mathrm s}[/tex]
In this time, his displacement [tex]\Delta x[/tex] satisfies
[tex]{v_f}^2-{v_0}^2=2a\Delta x\implies\left(24.6\,\dfrac{\mathrm m}{\mathrm s}\right)^2-\left(0\,\dfrac{\mathrm m}{\mathrm s}\right)^2=2\left(6.00\,\dfrac{\mathrm m}{\mathrm s^2}\right)\Delta x[/tex]
[tex]\implies\Delta x=50.4\,\mathrm m[/tex]
