Answer:
x = 16 [m]
Explanation:
This problem can be solved using the following equation of kinematics.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity = 5 [m/s]
a = acceleration = 3 [m/s²]
t = time = 2 [s]
[tex]v_{f}=5+3*(2)\\v_{f}=11[m/s][/tex]
Now we can find the displacement using the following equation of kinematics.
[tex]v_{f}^{2} =v_{o}^{2} +2*a*x\\11^{2}=5^{2} +2*3*x\\96=6*x\\x=16[m][/tex]
