The rocket's x- and y-coordinates relative to its launching point will be -0.975 and -0.219 m/sec, respectively.
What is velocity?
The change of displacement with respect to time is defined as the velocity. Velocity is a vector quantity. it is a time-based component.
Velocity at any angle is resolved to get its component of x and y-direction.
Given data;
V = 100m/s
θ=550°
t= 142 sec
The given velocity is resolved into the component as:
[tex]\rm V_X=Vcos \theta \\\\ V_y = Vsin\theta[/tex]
The x coordinate of the rocket:
[tex]\rm V_x = 100 cos \ 550^0 \\\\ V_x = -0.975616[/tex]
The y coordinate of the rocket:
[tex]\rm V_y =100 sin \ 550^0 \\\\ V_y = -0.219484[/tex]
Hence, the x-and y- coordinates of the rocket relative to its firing point will be -0.975 and -0.219 m/sec.
To learn more about the velocity refer to the link ;
https://brainly.com/question/862972
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