Question

if a stone is projected at an angle of 50 degrees to the horizontal with an initial velocity of 50m/s, what is the vertical component of the initial velocity

Answer 1

38.3 m/s

Step-by-step explanation:

To find vertical component of initial velocity, you'd have to use sine ratio:

`\displaystyle{\sin \theta = (u_y)/(u)}`

`\displaystyle{u_y}` is vertical component of initial velocity and
`\displaystyle{u}` is initial velocity given which is 50 m/s.

A stone is projected at an angle of 50 degrees so
`\displaystyle{\theta}` = 50°. Substitute in the formula:

`\displaystyle{\sin 50^(\circ) = (u_y)/(50)}\\\\\displaystyle{50 \sin 50^(\circ) = u_y}\\\\\displaystyle{u_y = 38.3 \ \, \sf{m/s}}`

Therefore, the vertical component of initial velocity is approximately 38.3 m/s

(The picture is also attached for visual reference!)