A student throws a ball horizontally at the rate of 40 m/s. If the height from which the ball is thrown is 2 m, how far will the ball travel before it touches the ground?

a-16.33m
b-19.54m
c-25.56m
d-28.29m

Respuesta :

Answer:

The correct option is C

Explanation:

From the question we are told that

  The speed of the ball in the horizontal direction is  [tex]v = 40 m/s[/tex]

   The height from which the ball is thrown is s =  2 m

   

Generally from kinematic equation

     [tex]s = ut + \frac{1}{2} gt^2[/tex]

Here u is the initial  velocity of the ball and this zero  given that the ball was at rest before it was thrown.

So

    [tex]2 = 0 * t + \frac{1}{2} 9.8t^2[/tex]

=>  [tex]t = 0.6889 \ s[/tex]

Generally the distance the ball will travel before touching the ground is  

      [tex]d = v * t[/tex]

=>    [tex]d = 40 * 0.6389[/tex]

=>    [tex]d = 25.56 \ m[/tex]

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