A gun fires a bullet horizontally with a velocity of 90 m/s from a tower. Neglecting air resistance, how far will the bullet travel horizontally in 4 seconds?​

Respuesta :

Answer:

The distance covered along the horizontal axis is [tex]s = 360 \ m[/tex]

The distance covered along the vertical  axis is  [tex]h = 78.4 \ m[/tex]

Explanation:

From the question we are told that  

    The horizontal velocity is  [tex]u_x = 90 \ m/s[/tex]

     The time considered is  [tex]t = 4 \ s[/tex]

Generally the distance which the bullet will cover in the horizontal direction for the given time is  mathematically represented as

    [tex]s = u_xt + \frac{1}{2}* at^2[/tex]

Here a is the acceleration along the horizontal direction and the value is  [tex]a = 0 \ m/s^2[/tex]

So

     [tex]s = 90 * 4 + \frac{1}{2}* * 0 * 4^2[/tex]

=>  [tex]s = 360 \ m[/tex]

Generally the distance which the bullet will cover in the vertical  direction for the given time is  mathematically represented as

            [tex]h= u_y t + \frac{1}{2}* gt^2[/tex]

Here  [tex]u_y[/tex] is the initial  velocity of the bullet along the vertical axis and the value is  [tex]u_y = 0 \ m/s[/tex]

             [tex]h = 0 * 4 + \frac{1}{2}* 9.8 *4^2[/tex]

=>          [tex]h = 78.4 \ m[/tex]