Boat A & B's Motion: Initial Position & Velocity

In summary, Boat A's initial position is at (-1, -4) and Boat B's initial position is at (4, 3). The velocity vector for Boat A is (-1, 2) and for Boat B is (-3, -2). The angle between the paths of the boats is 90 degrees. The boats are closest to each other at t=1 hour.
  • #1
SSUP21
8
0
Boat A's position is given by the parametric equation x=3-t, y= 2t -4 where position is km and time is hours. Boat B's poisiton is given by x=4-3t, y= 3-2t

a) find the initail position of each boat
b) find the velocity vector of each both
c) what is the angle between the paths of the boat
d) at what time are the boats closest to each other

I have NO CLUE on how to start the question
 
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  • #2
No clue? That's bad news. For a) try putting t=0. The bad news is that it gets more complicated after that. For b) and d) you have to differentiate. Can you at least try?
 

1. What is the initial position of Boat A & B?

The initial position of Boat A & B refers to the coordinates or location of the boats at the beginning of their motion. This can be measured in terms of distance from a fixed point or in terms of latitude and longitude on a map. It is an important factor in determining the overall motion of the boats.

2. How is the initial position of Boat A & B determined?

The initial position of Boat A & B can be determined through various methods such as using GPS coordinates, measuring the distance from a fixed point, or using a map to determine their location. It is important to accurately determine the initial position in order to accurately track the motion of the boats.

3. What is the velocity of Boat A & B?

The velocity of Boat A & B refers to the speed and direction at which the boats are moving. It is a vector quantity that takes into account both magnitude and direction. The velocity of the boats can be calculated by dividing the change in position by the change in time.

4. How does the velocity of Boat A & B affect their motion?

The velocity of Boat A & B plays a crucial role in determining their motion. The boats will continue to move at a constant velocity unless acted upon by an external force. The direction of the velocity also determines the direction of the boats' motion.

5. Can the initial position and velocity of Boat A & B change during their motion?

Yes, the initial position and velocity of Boat A & B can change during their motion due to external forces such as wind or currents. These changes can affect the overall motion of the boats and must be taken into account when analyzing their movement.

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