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A rocket is fired with an initial velocity of 100m/s at an angle of 550 above the horizontal. It explodes on the mountain side 12s after its firing. What is the x-and y- coordinates of the rocket relative to its firing point?​

Sagot :

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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