# Objects A and B are at the origin. If object A moves to #(-6 ,-2 )# and object B moves to #(-5 ,-4 )# over #3 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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

To find the relative velocity of object B from the perspective of object A, you need to find the displacement of B relative to A over the given time period.

First, calculate the displacement vectors for both objects:

For object A: Initial position: (0, 0) Final position: (-6, -2) Displacement vector: (-6 - 0, -2 - 0) = (-6, -2)

For object B: Initial position: (0, 0) Final position: (-5, -4) Displacement vector: (-5 - 0, -4 - 0) = (-5, -4)

Now, find the displacement of B relative to A by subtracting the displacement of A from the displacement of B:

Relative displacement = Displacement of B - Displacement of A = (-5, -4) - (-6, -2) = (-5 + 6, -4 + 2) = (1, -2)

Now, divide this relative displacement vector by the time taken (3 seconds) to find the relative velocity:

Relative velocity = Relative displacement / Time taken = (1/3, -2/3) m/s

So, the relative velocity of object B from the perspective of object A is approximately (0.33, -0.67) m/s.

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.

- What is the norm of #< -5 , -2, -1 >#?
- A projectile is shot from the ground at an angle of #pi/8 # and a speed of #3 m/s#. When the projectile is at its maximum height, what will its distance from the starting point be?
- What is the dot product of #<1,0,-2 ># and #<-1,-4,1 >#?
- How do you determine the maximum height of a projectile?
- What are all the variables that need to be taken into account when recording the time of flight and distance of a projectile fired from a catapult (tension, angle, mass of projectile, etc)?

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