Relative Velocity Problem: Boat Chasing and Stone Throwing

In summary, boat A and boat B are moving along a river with a stream speed of 6 miles per hour. Boat B is moving at a speed of 48 miles per hour relative to the river while boat A is 8 miles per hour slower. A stone is thrown horizontally at boat A with a speed of 23 miles per hour relative to the thrower's boat. The positive direction of motion is towards boat A and B, and the origin is the starting point of boat A and B. The horizontal velocity of the stone relative to boat A is -23 miles per hour, and its velocity relative to the river bank is -17 miles per hour.
  • #1
mike1
14
0
A boat A is chasing boat B along a river by moving in the same direction as the
stream. The speed of the river stream is 6 miles per hour, the speed of boat B relative to
the river is 48 miles per hour, and boat A is 8 miles per hour slower than boat B.
Currently boat B is ahead of boat A, and a person throws a stone horizontally at boat A at a
speed 23 miles per hour relative to their boat.

What is the horizontal velocity of the stone relative
to boat A and to the river bank? [What are the positive direction of motion and indicate what the origin is]


I let the direction of boat A and B be the positive direction.
Boat A have a relative velocity of Xp=40 and boat B have a relative velocity of Xq=48.
Relative velocity of boat B to boat A Xqp=48-40=8
Am I right in letting the relative velocity of the brick Xb= -23, because its going backwards and now how do I calculate Xbp? or is that the wrong approach?
 
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  • #2
anyone?
 

Related to Relative Velocity Problem: Boat Chasing and Stone Throwing

1. What is relative velocity?

Relative velocity refers to the motion of an object in relation to another object. It is the velocity of an object as observed from a particular frame of reference.

2. How do you calculate relative velocity?

To calculate relative velocity, you need to find the difference between the velocities of the two objects. This can be done by subtracting the velocity of the first object from the velocity of the second object.

3. What is the difference between relative velocity and absolute velocity?

The main difference between relative velocity and absolute velocity is that relative velocity takes into account the motion of an object in relation to another object, while absolute velocity is the measurement of an object's motion in relation to a fixed point or frame of reference.

4. Why is relative velocity important?

Relative velocity is important because it helps us understand the motion of objects in relation to each other. It is also used in many fields of science, such as physics and astronomy, to calculate and predict the motion of objects.

5. How does relative velocity affect collisions?

Relative velocity plays a crucial role in collisions between objects. The relative velocity of two objects before a collision determines the impact and outcome of the collision. It also helps in understanding the energy transfer and momentum during the collision.

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