# The velocity of a sailing boat in favor of the current in a river is 18km/hr and against the current, it is 6km/hr.In which direction the boat is to be driven in order to reach the other side of the river and what will be the velocity of the boat?

Let

Given that the velocity of the sailing boat in favor of the current in a river is 18km/hr and against the current, it is 6km/hr.We can write

Adding (1) and (2) we get

Subtracting (2) from (2) we get

Now let us consider that

As the boat reaches just opposite point of the river, during sailing the resolved part of its velocity should balance the velocity of the current.Hence we can write

This angle is with the bank as well as with opposite direction of the current.

The other resolved part of the velocity of boat

So this velocity

By signing up, you agree to our Terms of Service and Privacy Policy

The boat should be driven perpendicular to the current in order to reach the other side of the river. The velocity of the boat will be the vector sum of its velocity in still water and the velocity of the current. The magnitude of the resultant velocity can be calculated using the Pythagorean theorem. Given the boat's velocity in favor of the current (18 km/hr) and against the current (6 km/hr), the magnitude of the resultant velocity is ( \sqrt{(18^2 - 6^2)} = \sqrt{(324 - 36)} = \sqrt{288} \approx 16.97 ) km/hr.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object is at rest at #(7 ,8 ,4 )# and constantly accelerates at a rate of #5/4 m/s^2# as it moves to point B. If point B is at #(1 ,5 ,3 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- What are some examples of motion graphs?
- If a projectile is shot at an angle of #pi/12# and at a velocity of #1 m/s#, when will it reach its maximum height??
- An object's two dimensional velocity is given by #v(t) = ( t^2 - 2t , 1- 3t )#. What is the object's rate and direction of acceleration at #t=7 #?
- How do velocity and acceleration differ?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7