A drag racer starts from rest and accelerates at a constant 16.0m/s^2 until it reachs its top spees of 407km/hr. how far does it travel during this acceleration?

Respuesta :

Answer:

Distance, s = 399.42 m/s

Explanation:

It is given that,

Initial velocity of drag racer, u = 0

Final velocity of drag racer, v = 407 km/hr = 113.056 m/s

Acceleration, [tex]a=16\ m/s^2[/tex]

Third equation of motion is :

[tex]v^2-u^2=2as[/tex]

s is the distance traveled

[tex]s=\dfrac{v^2-u^2}{2a}[/tex]

[tex]s=\dfrac{v^2}{2a}[/tex]

[tex]s=\dfrac{(113.056)^2}{2\times 16}[/tex]

s = 399.42 m/s

So, the distance traveled during this acceleration is 399.42 m/s. Hence, this is the required solution.

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