Question

Huck Finn walks at a speed of 0.70 m/s across his raft (that is, he walks perpendicular to the raft’s motion relative to the shore). The raft is traveling down the Mississippi River at a speed of 1.50 m/s relative to the river bank (Fig. 3–42). What is Huck’s velocity (speed and direction) relative to the river bank?

Answer 1

Answer

given,

Hunk Finn speed,v_y= 0.7 m/s

Speed of river,v_x = 1.50 m/s

Assuming the speed of the river is in x-direction.

Speed of Hunk Finn to be in y-direction.

Hunk velocity relative to river =

$x = \sqrt{v_y^2+v_x^2}$

$x = \sqrt{2.74}$

$x =1.66\ m/s$

Speed of Hunk relative to river = 1.66 m/s

direction of the boat

$\theta =tan^{-1}(\dfrac{v_y}{v_x})$

$\theta =tan^{-1}(\dfrac{0.7}{1.50})$

$\theta = 25.01^{\circ}$

Hence, angle of the raft is 24.01°