In a World Cup soccer match, Juan is running due north toward the goal with a speed of 7.40 relative to the ground. A teammate passes the ball to him. The ball has a speed of 12.1 and is moving in a direction of 36.8 east of north, relative to the ground.

What is the magnitude of the ball's velocity relative to Juan?

Question

In a World Cup soccer match, Juan is running due north toward the goal with a speed of 7.40 relative to the ground. A teammate passes the ball to him. The ball has a speed of 12.1 and is moving in a direction of 36.8 east of north, relative to the ground.

What is the magnitude of the ball's velocity relative to Juan?

anonymous · Answer

are we considering that north east is a 45 degrees?

anonymous · Answer

The problem doesn't specify. It just says that the ball is moving in a direction of 36.8 east of north relative to the ground.

anonymous · Answer

$$v_{bj}=v_{bg}-v_{jg}$$

anonymous · Answer

since this problem pertains to relative velocity in two dimensions, why do we simply subtract the velocities? I used the formula and the answer is wrong....

anonymous · Answer

i mean that formula in vector form. So We can find each relative vel in both coordinate first.

anonymous · Answer

thank you so much!