Boatman wants to reach from point A to point B as shown in figure. Λt what angle θshould he head

step 1 Hello students in this question for the boat to reach the point B the boatman rose his boat in a

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Boatman wants to reach from point $A$ to point $B$ as shown in figure. $\Lambda t$ what angle $\theta$ should he head his boat. Given: $\left|\vec{v}_{b r}\right|-4 \mathrm{~m} / \mathrm{s}=$ magnitude of velocity of boatman with respect to river $\vec{v}_{r}-2 \mathrm{~m} / \mathrm{s}$ in the dircetion shown.

   Boatman wants to reach from point $A$ to point $B$ as shown in figure. $\Lambda t$ what angle $\theta$ should he head his boat. Given: $\left|\vec{v}_{b r}\right|-4 \mathrm{~m} / \mathrm{s}=$ magnitude of velocity of boatman with respect to river $\vec{v}_{r}-2 \mathrm{~m} / \mathrm{s}$ in the dircetion shown.

Practice Problem in Physics for the JEE Main and Advanced

Abhay Kumar 2015 Edition

Chapter 3, Problem 51

Instant Answer

Solved by Expert Nidhi Singhi

01/26/2022

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Boatman wants to reach from point $A$ to point $B$ as shown in figure. $\Lambda t$ what angle $\theta$ should he head his boat. Given: $\left|\vec{v}_{b r}\right|-4 \mathrm{~m} / \mathrm{s}=$ magnitude of velocity of boatman with respect to river $\vec{v}_{r}-2 \mathrm{~m} / \mathrm{s}$ in the dircetion shown.

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Key Concepts

Relative Velocity

Relative velocity is the concept of understanding an object's velocity as observed from a moving medium. In navigation problems, this involves combining the velocity of the boat (with respect to the water) and the velocity of the water (the current) to determine the actual path of the boat relative to the ground.

Vector Addition

Vector addition is the process of combining multiple vectors to find a resultant vector. In the context of a boat navigating in a river, the boat's velocity vector and the river's current vector are added to determine the boat's overall displacement.

Trigonometric Decomposition

Trigonometric decomposition involves breaking down a vector into its horizontal and vertical components using trigonometric functions like sine and cosine. This is crucial in determining the correct heading angle so that, when combined with the river’s current, the boat reaches its intended destination.

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