See the answers below
Explanation:
To solve this problem we must use the following equation of kinematics.
![v_{f}=v_{o}+a*t](/tpl/images/0931/7200/33431.png)
where:
Vf = final velocity [m/s]
Vo = initial velocity [m/s]
a = acceleration [m/sΒ²]
t = time [s]
First case
Vf = 6 [m/s]
Vo = 2 [m/s]
t = 2 [s]
![6=2+a*2\\4=2*a\\a=2[m/s^{2} ]](/tpl/images/0931/7200/fd7cc.png)
Second case
Vf = 25 [m/s]
Vo = 5 [m/s]
a = 2 [m/sΒ²]
![25=5+2*t\\t = 10 [s]](/tpl/images/0931/7200/2c6a4.png)
Third case
Vo =4 [m/s]
a = 10 [m/sΒ²]
t = 2 [s]
![v_{f}=4+10*2\\v_{f}=24 [m/s]](/tpl/images/0931/7200/cba4d.png)
Fourth Case
Vf = final velocity [m/s]
Vo = initial velocity [m/s]
a = acceleration [m/sΒ²]
t = time [s]
![v_{f}=5+8*10\\v_{f}=85 [m/s]](/tpl/images/0931/7200/130b9.png)
Fifth case
Vf = final velocity [m/s]
Vo = initial velocity [m/s]
a = acceleration [m/sΒ²]
t = time [s]
![8=v_{o}+4*2\\v_{0}=8-8\\v_{o}=0](/tpl/images/0931/7200/80b1d.png)