Question

(1
)
151
(b) You ride in a boat whose speed relative to the water is 8.2 m/s. If the river flows at
1.8 m/s, at what angle should the boat point in order that it arrives at a point directly
opposite, i.e., for the boat to move perpendicular to the shores of the river? [8]​

Answer 1

Answer:

The boat should point in angle to the perpendicular to the shore is, Ф = 12° 22'

Explanation:

Given data,

The velocity of the boat, V = 8.2 m/s

The velocity of the flow of the river, V' = 1.8 m/s

Let Ф formed by the boat perpendicular to the shore,

The two velocity components along the perpendicular axes are V and V'

Therefore,

                                  tan Ф = V' / V

                                             = 1.8 / 8.2

                                             = 0.2195

Therefore,

                                         Ф  = tan⁻¹ (0.2195)

                                              = 12° 22'

Hence, the boat should point in angle to the perpendicular to the shore is, Ф = 12° 22'