Un tren parte del reposo e incrementa su velocidad a un ritmo constante. Al pasar por un punto A se mueve a 50 m/s y 500 metros después, en un punto B, su velocidad es de 65 m/s. Determine:
La aceleración del tren.
El tiempo requerido en recorrer la distancia de A a B.
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a  = 1.73m/s²

t  = 8.7s

Explanation:

Given parameters:

Initial velocity at point A  = 50m/s

Final velocity at point B = 65m/s

Distance between the two points  = 500m

Unknown:

Acceleration   = ?

Time required to travel the distance = ?

Solution:

To solve this problem, one must apply the right motion equation that will help factor and solve for acceleration.

   Using;

        V²   = U²  + 2as

where

V is the final velocity

U is the initial velocity

a is the acceleration

s is the distance

 Input the variables;

          65²  = 50²  + 2 x a x 500

    4225 - 2500  = 1000a

        1725 = 1000a

             a  = 1.73m/s²

Now to solve for the time;

           V  = U + at

where t is the time taken;

            65  = 50 + 1.73 x t

            65 - 50 = 1.73t

                      t  = 8.7s