Answer :
Given
The mass is
[tex]m=1,703\text{ kg}[/tex]The power is
[tex]P=18,905\text{ W}[/tex]The initial velovcity is
[tex]u=0\text{ m/s}[/tex]The final velocity is
[tex]v=10\text{ m/s}[/tex]To find
Time taken by the car to go from 0 m/s to 10 m/s.
Explanation
By work-energy theorem we have that
Work done is equal to the change in kinetic energy.
Thus,
[tex]W=\frac{1}{2}m\left(v^2-u^2\right?[/tex]Again work done can be written as
[tex]W=P\times t[/tex]where t is the time
Equating the two equations we have,
[tex]\begin{gathered} P\times t=\frac{1}{2}m\left(v^2-u^2\right? \\ \Rightarrow18,905t=\frac{1}{2}\times1703\times10^2 \\ \Rightarrow t=4.504\text{ s} \end{gathered}[/tex]Conclusion
The time taken is 4.504 s
