A rock is shot from a catapult at the top of a mountain a height h above a level plain below. The rock is fired at an angle θ above the horizontal and with an initial vi.(a)Find a symbolic expression in terms of the variables vi, g, and θ for the time at which the rock reaches its maximum height.

Respuesta :

Answer:

[tex]t=\frac{v_{i}Sin\theta }{g}[/tex]

Explanation:

Let the time taken by the shot to reach to maximum height is t.

initial velocity, vi

angle of projection, θ

Acceleration, g

At maximum height, the vertical component of velocity is zero.

use first equation of motion in vertical motion

[tex]v=u+at[/tex]

[tex]0=v_{i}Sin\theta -gt[/tex]

[tex]t=\frac{v_{i}Sin\theta }{g}[/tex]