Answer:
The speed of the automobile after 1.43s is 10 [tex]\frac{m}{s}[/tex]
Explanation:
[tex]a= \frac{-f}{m}= \frac{-u_{k}*m*g}{m}[/tex]
[tex]a= -u_{k}*g=- 0.590* 9.8 \frac{m}{s^{2} }= -5.782 \frac{m}{s^{2} }[/tex]
[tex]V_{f} = V_{i} + a*t[/tex]
[tex]V_{f} = 18.2 \frac{m}{s} - (5.782 \frac{m}{s^{2} }* 1.43 s)[/tex]
[tex]V_{f} = 9.93174 \frac{m}{s} [/tex]
[tex]V_{f} [/tex] ≅ 10 [tex] \frac{m}{s} [/tex]