Question

A projectile is launched with an initial speed of 15.5 m/s at an angle of 78 degrees above the horizontal,

What are the x and y components of the initial velocity?

Answer 1

Step-by-step explanation:

The formula for the x-components of the velocity vector is

`V_x=Vcos\theta` and for the y-components it is

`V_y=Vsin\theta` where V in both of those formulas is the magnitude of the velocity.

For the x-component, taking into consideration significant digits:

`V_x=15.5cos(78)\\V_x=3.2(m)/(s)`

For the y-component, taking into consideration significant digits:

`V_y=15.5sin(78)\\V_y=15(m)/(s)`