Jon Snow shoots an arrow horizontally at 32.0 m/s from the top of the wall, 295 m above the ground. How long will the arrow be in the air? How far from the wall will it land?

Respuesta :

Explanation:

It is given that,

Velocity of arrow, v = 32 m/s

Height above ground, h = 295 m

Let t is the time taken by arrow in air. It is given by :

[tex]h=ut+\dfrac{1}{2}at^2[/tex]

a = g

Initially, u = 0

[tex]t=\sqrt{\dfrac{2h}{g}}[/tex]

[tex]t=\sqrt{\dfrac{2\times 295}{9.8}}[/tex]

t = 7.75 seconds

Let it land at a distance of d. It is given by :

[tex]d=v\times t[/tex]

[tex]d=32\times 7.75[/tex]

d = 248 meters

Hence, this is the required solution.