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A puck moves 2.35 m/s in a -22 degree direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50 degree direction. What is displacement y?

Respuesta :

Answer:

Displacement in Y direction is 0.434 m

Explanation:

initial velocity of the puck is 2.35 m/s at -22 degree

so here it is given as

[tex]v_i = 2.35 cos22 \hat i - 2.35 sin22 \hat j[/tex]

[tex]v_i = 2.18 \hat i - 0.88 \hat j[/tex]

final velocity is given as 6.42 m/s at 50 degree

so we have

[tex]v_f = 6.42 cos50 \hat i + 6.42 sin50\hat j[/tex]

[tex]v_f = 4.13 \hat i + 4.92\hat j[/tex]

now displacement in Y direction is given as

[tex]\Delta y = \frac{v_f + v_i}{2}t[/tex]

[tex]\Delta y = \frac{-0.88 + 4.92}{2} (0.215)[/tex]

[tex]\Delta y = 0.434 m[/tex]

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