A swimmer can swim in still water at a speed of 9.50 m/s. he intends to swim directly across a river that has a downstream curre
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Answer:
magnitude is 2.52 m with 66.15° north east
Explanation:
given data
displace 1 = 3.45 m north = 3.45 j
displace 2 = 1.53 m southeast = 1.53 cos(315) i + sin(315) j
displace 3 = 0.877 m southwest = 0.877 cos(225) i- sin(225) j
to find out
displacement and direction
solution
we consider here direction i as east and direction j as north
so here
displacement = displace 1 + displace 2 + displace 3
displacement = 3.45 j + 1.53 cos(315) i + sin(315) j + 0.877 cos(225) i- sin(225) j
displacement = 3.45 j + 1.081 i -1.0818 j - 0.062 i -0.062 j
displacement = 1.019 i + 2.306 j
so magnitude
magnitude =
magnitude = 2.52
and
angle will be = arctan(2.306/1.019)
angle = 1.15470651 rad
angle is 66.15 degree
so magnitude is 2.52 m with 66.15° north east