Recent content by gbean

45-45-90, but why?

This is what I intuitively want vm to point, but I can't explain it...

Vm pointing to the left, or upstream.

So like this?

Like this?

Vo = Vm + Vc Vo = velocity relative to the shore Vm = velocity of boat Vc = velocity of current

To the current? I'm not totally sure what I'm supposed to be gleaning.

The motor is pushing against vc, the current?

Vm is the velocity perpendicular to the shore, and then Vc is the velocity parallel to the shore?

Relative to an observer on the shore, aka Fred?

I know that the answer is A, but I still keep getting arcctan...

Homework Statement Fred's friends are in a boat. If they could travel perpendicularly to the shore, they could land at his position. However, a strong current vc is greater than the maximum vm of the motor. Find the magnitude of the angle, measured relative to the straight-across direction, at...

Homework Statement Suppose that I am jumping on the Earth, and I weigh 130 lbs. I push off with an initial vertical velocity of 2 m/s, and reach my highest height at 4 m. If I were to jump on a different planet with an extra 130 lbs (earth weight) because of a space suit etc., would I have a...

Nevermind, got it! Thank you.

Is this sufficient? Proof by contradiction Assume Ai =/= Aj. Then the intersection of Ai and Aj = empty set. But this is a contradiction because y is an element of Ai and is an element of Aj. Hence, Ai = Aj.