From the information given,
Sum of horizontal distance = 26.1 + 25.8 + 27.5 + 27.1 + 27.4 + 27.3 = 161.2 m
number of trials = 6
Average horizontal velocity = x = 161.2/6 = 26.87 m
Vertical distance, y = 10 m
To calculate time, t, we would apply the formula,
y = (1/2)gt^2
where
g = acceleration due to gravity = 9.8 m/s^2
By substituting y = 10 and g = 9.8 into the formula, we have
10 = 1/2 x 9.8 x t^2
10 = 4.9t^2
t^2 = 10/4.9
Taking square root of both sides,
t = 1.43
Also,
x = Vot
Vo = x/t
Substituting x = 26.87 and t = 1.43 into the equation, we have
Vo = 26.87/1.43
Vo = 18.79 m/s