Answer:
x = 400 [m]
Explanation:
To solve this problem we must use the following kinematics equations, first, we find the final speed, and then we proceed to find the distance traveled.
[tex]v_{f}=v_{i} +(a*t)\\[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 15 [m/s]
a = acceleration = 5 [m/s^2]
t = time = 10 [s]
Note: the positive sign in the Equation indicates that the car is accelerating, i.e. its speed is increasing.
Now replacing
Vf = 15 + (5*10)
Vf = 65 [m/s]
Now using the second equation:
[tex]v_{f} ^{2}= v_{i} ^{2}+(2*a*x)[/tex]
where:
x = distance traveled [m]
x = (65^2 - 15^2)/ (2*5)
x = 400 [m]
