contestada

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?

Respuesta :

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 =

[tex]x = \sqrt{v_y^2+v_x^2}[/tex]

[tex]x = \sqrt{2.74}[/tex]

[tex]x =1.66\ m/s[/tex]

Speed of Hunk relative to river = 1.66 m/s

direction of the boat

[tex]\theta =tan^{-1}(\dfrac{v_y}{v_x})[/tex]

[tex]\theta =tan^{-1}(\dfrac{0.7}{1.50})[/tex]

[tex]\theta = 25.01^{\circ}[/tex]

Hence, angle of the raft is 24.01°

Otras preguntas