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Grade: 11
        A river 400 m wide is flowing at a rate of 2.0 m/s. A boat is sailing at a velocity of 10 m/s with respect to the water, in a direction perpendicular to the river. (a) Find the time taken by the boat to reach the opposite bank. (b) How far from the point directly opposite to the starting point does the boat reach the opposite bank?
5 years ago

Answers : (3)

Aditi Chauhan
askIITians Faculty
396 Points
							Sol. a) Here the boat moves with the resultant velocity R. But the vertical component 10 m/s takes him to the opposite shore. 
Tan θ = 2/10 = 1/5
Velocity = 10 m/s
distance = 400 m
Time = 400/10 = 40 sec.
b) The boat will reach at point C.
In ∆ABC, tan θ = BC/AB = BC/400 = 1/5
⇒ BC = 400/5 = 80 m.

						
5 years ago
Parikshit
13 Points
							Sol. a) Here the boat moves with the resultant velocity R. But the vertical component 10 m/s takes him to the opposite shore. Tan θ = 2/10 = 1/5 Velocity = 10 m/s distance = 400 m Time = 400/10 = 40 sec. b) The boat will reach at point C. In ∆ABC, tan θ = BC/AB = BC/400 = 1/5 ⇒ BC = 400/5 = 80 m.
						
3 years ago
Maya
13 Points
							Time =displacement (in y -direction)             —————————————              Speed(in y direction)Time=.   400              ,——                10        =40 sNow,Distance(in x direction) =s×t                                           =2m/s×40s=80m
						
2 years ago
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