Physics - Kinematics Question with Solution | TestHub

Figure shows top view of a boat moving with velocity ${\vec{v}}_r=(8\hat{i}+6\hat{j})m/s$ relative to water. Water flows with velocity ${\vec{v}}_W=2\hat{i}\mathrm{m}/\mathrm{s}$ relative to ground. A motor cyclist moves along a road running parallel to bank with velocity ${\vec{v}}_m=20\hat{i}\mathrm{m}/\mathrm{s}$. An apple is thrown from boat when boat is at a distance 60 m from motor cyclist as shown in figure (Line joining them is perpendicular to the bank). The motor cyclist catch the apple in same horizontal plane after 4 seconds of projection. If apple is thrown with velocity $\left(\widehat{v_X}\hat{i}+v_y\hat{j}+v_z\hat{k}\right)\mathrm{m}/\sec$ relative to boat, then find the fill value of $\left|{\vec{v}}_X\right|+\left|{\vec{v}}_Y\right|+\left|{\vec{v}}_Z\right|$