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A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.

Sagot :

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Answer:

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Step-by-step explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

[tex]V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i[/tex]

The vertical component of the velocity is calculated as;

[tex]V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j[/tex]

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)

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