Calculating final velocity
a roller coaster is traveling at 13 m/s when it approaches a hill that is 400 m long. heading down the hill, it accelerates at 4.0 m/s2. what is the final velocity of the roller coaster? round your answer to the nearest whole number.
m/s

In physical science, there is an equation that relates the distance, initial velocity, final velocity and acceleration. This equation is written below.
                      d = (Vf² - Vi²) / 2a
where d is the distance,
Vf is the final velocity,
Vi is the initial velocity, and 
a is the acceleration

To get the value of Vf we may rearrange the equation such that,
                     Vf² - Vi² = 2ad
Transposing Vi² to the other side of the equation,
                     Vf² = 2ad + Vi²
Then, we get the square root of each side,
                     Vf = sqrt (2ad + Vi²)

Substitute the given values above,
                    Vf = sqrt ((2)(4 m/s²)(400 m) + (13 m/s)²)
                          Vf = 58.04 m/s

Hence, the final velocity of the roller coaster is approximately 58.04 m/s.

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