Answer:
a = - 4.5 [m/s²]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f}^{2}= v_{o}^{2}+2*a*x[/tex]
where:
Vf = final velocity = 30 [m/s]
Vo = initial velocity = 60 [m/s]
x = distance = 300 [m]
a = acceleration [m/s²]
Now replacing:
[tex]30^{2} = 60^{2}+2*a*300\\30^{2} -60^{2}=600*a\\-2700 = 600*a\\a=-4.5[m/s^{2} ][/tex]