Question

A motor cyclist going due east 10m/s, finds that the wind is blowing directly from the north. When he doubles his speed he finds the wind is blowing from northeast. In what direction and with what velocity is the wind blowing? (explain with a neat labled vector diagram).

Answer 1

v(m1) = 10i
v(wm1) = v(w) - v(m1) = v - 10i = -kj
v(m2)=20i
v(wm2)= v(w) - v(m2)= v-20i = 1.414k(-i-j)

Answer 2

k is a constant which is |v|

Answer 3

first solve this

Answer 4

leave it

Answer 5

draw the vectors one by one

Answer 6

yes

Answer 7

then it must be 10i-j right