just consider the movement at each stage.
If the starting point is O, then the movements (x,y) are
O to R = (0,3)
R to B = (4.04,-2.33)
So, O to B = (4.04,0.67)
so, B to G at (1,0) involves a movement of (-3.04,-0.67)
Now just find that distance and direction.
remember that the angle z will obey tan(z) = ∆y/∆x
A boat heads due North for 3.00 km to reach a red buoy. It then changes direction and heads in a direction of 30.0 degrees South of East for a distance of 4.66 km to reach a blue buoy. The boat changes direction again and heads to a green buoy which is 1.00 km due East of the boat’s starting position. What must be the boat’s displacement to go from the blue buoy to the green buoy? Express that displacement as the distance traveled in a direction specified as an angle East or West of South.
1 answer
1 answer