Answer:
x = 18.16 m
Explanation:
To find the distance traveled by the car you use the following kinematic formula for a negative acceleration:
[tex]v^2=v_o^2-2ax[/tex] (1)
v: final velocity = 0m/s (because the car stops)
vo: initial velocity = 45 km/h = 45(1000m)/(3600s) = 12.5 m/s
a: acceleration = 4.3m/s^2
x: distance = ?
you do "x" the subject of the formula (1), and the replace the values of the other parameters in order to calculate x:
[tex]x=\frac{v_o^2-v^2}{2a}\\\\x=\frac{(12.5m/s)^2-(0m/s)^2}{2(4.3m/s^2)}\\\\x=18.16m[/tex]
hence, the distance traveled is 18.16 m
