Answer:
See the answers below
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity [m/s]
a = acceleration [m/s²]
t = time [s]
First case
Vf = 6 [m/s]
Vo = 2 [m/s]
t = 2 [s]
[tex]6=2+a*2\\4=2*a\\a=2[m/s^{2} ][/tex]
Second case
Vf = 25 [m/s]
Vo = 5 [m/s]
a = 2 [m/s²]
[tex]25=5+2*t\\t = 10 [s][/tex]
Third case
Vo =4 [m/s]
a = 10 [m/s²]
t = 2 [s]
[tex]v_{f}=4+10*2\\v_{f}=24 [m/s][/tex]
Fourth Case
Vf = final velocity [m/s]
Vo = initial velocity [m/s]
a = acceleration [m/s²]
t = time [s]
[tex]v_{f}=5+8*10\\v_{f}=85 [m/s][/tex]
Fifth case
Vf = final velocity [m/s]
Vo = initial velocity [m/s]
a = acceleration [m/s²]
t = time [s]
[tex]8=v_{o}+4*2\\v_{0}=8-8\\v_{o}=0[/tex]
