Hello!
A race car starting from rest accelerates uniformly at a rate of 3.90 m/s² what is the cars speed after it has traveled 200 m.
We have the following data:
Vf (final velocity) = ? (in m/s)
Vi (initial velocity) = 0 m/s (accelerated from rest)
d (displacement) = 200 m
a (acceleration) = 4.90 m/s²
Since we do not need to know the time elapsed during the movement, we apply the data of the question to the Equation of Torricelli, let us see:
[tex]V_f^2 = V_i^2 + 2*a*d[/tex]
[tex]V_f^2 = 0^2 + 2*4.90*200[/tex]
[tex]V_f^2 = 0 + 1960[/tex]
[tex]V_f^2 = 1960[/tex]
[tex]V_f = \sqrt{1960}[/tex]
[tex]V_f = 44.27188724...[/tex]
[tex]\boxed{\boxed{V_f \approx 44.27\:m/s}}\:\:\:\:\:\:\bf\blue{\checkmark}\bf\green{\checkmark}\bf\red{\checkmark}[/tex]
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