Explanation:
Whenever an object is moving in a 2D frame,its motion can be analysed as if it is travelling in two independent 1D frames.
One of such independent 1D frames are along horizontal and another along vertical.
Let [tex]v[/tex] be the total velocity.
Given that,[tex]v=8.25ms^{-1}[/tex]
We call the horizontal velocity as [tex]v_{h}[/tex] and the vertical velocity as [tex]v_{v}[/tex].
[tex]v_{h}[/tex]=[tex]vCos\alpha[/tex]
[tex]v_{v}=vSin\alpha[/tex]
where [tex]\alpha[/tex] is the angle between the object and horizontal.
It is given that [tex]\alpha =30^{0}[/tex]
[tex]v_{h}=8.25\times Cos(30^{0})=7.14ms^{-1}[/tex]
[tex]v_{v}=8.25\times Sin(30^{0})=4.125ms^{-1}[/tex]
