Question

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.

Answer 1

Answer:

$t=\frac{v_{i}Sin\theta }{g}$

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

$v=u+at$

$0=v_{i}Sin\theta -gt$

$t=\frac{v_{i}Sin\theta }{g}$