Question

A projectile has an initial horizontal velocity of 34.0 M/s at the edge of a roof top. Find the horizontal and vertical components of its velocity after 5.5s

I need shown work !

Answer 1

`v_x=34 m/s`

`v_y=53.9\ m/s`

Step-by-step explanation:

Horizontal Launch

When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled by gravity until it eventually hits the ground.

The horizontal component of the velocity is always constant because no acceleration acts in that direction, thus:

vx=v

The vertical component of the velocity changes in time because gravity makes the object fall at increasing speed given by:

`v_y=g.t`

The horizontal component of the velocity is always the same:

`v_x=34 m/s`

The vertical component at t=5.5 s is:

`v_y=9.8*5.5=53.9`

`v_y=53.9\ m/s`