Answer:
(a). The horizontal and vertical components are [tex]v\cos\theta[/tex] and [tex]v\sin\theta[/tex]
(b). The horizontal and vertical components of the rocket's impact velocity is 150 m/s and 259.8 m/s.
Explanation:
Given that,
Angle = 60°
Speed = 300 m/s
(a). We need to draw the vector representing the rocket's impact and its components
Using given data
The components of rocket's impact
The horizontal component is
[tex]u_{x}=u\cos\theta[/tex]
The vertical component is
[tex]v_{v}=v\sin\theta[/tex]
(b). We need to calculate the horizontal and vertical components of the rocket's impact velocity
Using horizontal and vertical components
The horizontal component is
[tex]v_{x}=v\cos\theta[/tex]
Put the value into the formula
[tex]v_{x}=300\cos60[/tex]
[tex]v_{x}=150\ m/s[/tex]
The vertical component is
[tex]v_{x}=v\sin\theta[/tex]
Put the value into the formula
[tex]v_{x}=300\sin60[/tex]
[tex]v_{x}=259.8\ m/s[/tex]
Hence, (a). The horizontal and vertical components are [tex]v\cos\theta[/tex] and [tex]v\sin\theta[/tex]
(b). The horizontal and vertical components of the rocket's impact velocity is 150 m/s and 259.8 m/s.
