Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia.

Question

Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 5.30 m/s. The velocity of the ball relative to Mia is 3.60 m/s in a direction 30.0 degree east of south.

A)What is the magnitude of the velocity of the ball relative to the ground?

B) What is the direction of the velocity of the ball relative to the ground?
Answer in north of east please

Explanation / Answer

velocity of ball wrt mia= -4.1cos 30 i +4.1 sin 30 j = -3.55 i+2.05 j velocity of mia = 5.7j velocity of ball wrt groung = velocity of ball wrt mia + velocity of mia wrt ground its like ball->ground = ball- > mia + mia -> ground mia being the reference media so velocity of ball wrt ground = -3.55 i+2.05 j+ 5.7j =-3.55 i+ 7.75 j cheers :)

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