Use kinematic equation:
vf² = vo² + 2g(xf - xo)
vf = final velocity = 10 m/s
vo = initial velocity = 0 m/s (i.e. at rest)
g = 9.81 m/s²
xf - xo = distance traveled = d
*rearrange equation to solve for d
(vf² - vo²)/(2g) = d
d = ((10 m/s)² - (0 m/s)²)/(2*9.81 m/s²)
d = (100 m²/s²)/(2*9.81 m/s²)
d = 5.097 m
