Answer:
x = 125 [m]
Explanation:
To solve this problem we must use the following kinematics equations.
[tex]v_{f} = v_{i} - (a*t)[/tex]
where:
Vf = final velocity = 0
Vi = initial velocity = 10 [m/s]
t = time = 25 [s]
a = acceleration [m/s2]
Note: the negative sign of the last term of the equation means that the speed decreases, that is, the body slows down.
Now replacing:
0 = 10 - (a*25)
a = 0.4 [m/s^2]
Now we must find the displacement value with the following equation and with the acceleration value found.
[tex]v_{f} ^{2} = v_{i} ^{2}-(2*a*x)[/tex]
where:
x = displacement [m]
(10)^2 = 2*0.4*x
x = 125 [m]
