Answer:
Vf = 5.09 [m/s]
Explanation:
To solve this problem we must use the equations of kinematics. Where we must first find the acceleration, then find the final velocity.
[tex]x-x_{o} =(v_{o}*t) +\frac{1}{2}*a*t^{2} \\[/tex]
where:
X - Xo = 28 [m]
Vo = initial velocity = 0 (starting from the rest)
t = time = 11 [s]
28 = 0.5*a*(11)²
a = 0.462 [m/s²]
Now the final velocity can be calculated by means of the following equation.
[tex]v_{f} ^{2} = v_{o} ^{2} + 2*a*x\\[/tex]
where:
Vf = final velocity [m/s]
Vf² = (2*0.462*28) (using the rootsquared)
Vf = 5.09 [m/s]
