Relative Motion of Lazy River#

A child, A, floats down the lazy river, at a constant speed of $${{params.v_AB}} m/s$$ relative to the swimmer B, who is swimming in a straight line at a constant speed of $${{params.v_B}} m/s$$ relative to a stationary observer on the pool deck. Both swimmers are viewed in the horizontal plane. In the above figure, $$\theta\_{1} = {{params.theta1}}$$, $$\theta\_{2} = {{params.theta2}}$$, $$d\_{1} = {{params.d1}}$$, and $$d\_{2} = {{params.d2}}$$. Note that the line between $$\theta\_{1}$$ and $$\theta\_{2}$$ is parallel to the y-axis.

Part 1#

What is the x-component of the velocity that child A appears to have at C relative to the observer on the pool deck?

Please enter in a numeric value in $$m/s$$.

Part 2#

What is the y-component of the velocity which child A appears to have at C relative to the observer on the pool deck?

Please enter in a numeric value in $$m/s$$.

Part 3#

What is the x-component of the velocity which child A appears to have at E relative to the observer on the pool deck?

Please enter in a numeric value in $$m/s$$.

Part 4#

What is the y-component of the velocity which child A appears to have at E relative to the observer on the pool deck?

Please enter in a numeric value in $$m/s$$.