# Objects A and B are at the origin. If object A moves to #(5, -1)# and object B moves to #(-7, 8)# 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.

This one seems tougher than it really is. The two objects start together at a separation of

To calculate the separation between the objects' final positions:

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To find the relative velocity of object B from the perspective of object A, subtract the velocity of object A from the velocity of object B. First, calculate the velocity vectors for both objects by dividing the displacement vectors by the time interval. Then, subtract the velocity vector of object A from the velocity vector of object B to obtain the relative velocity vector. Finally, find the magnitude of the relative velocity vector to get the relative velocity.

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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.

- Objects A and B are at the origin. If object A moves to #(-1 ,6 )# and object B moves to #(6 ,-2 )# over #2 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
- What is the unit vector that is normal to the plane containing #(- 3 i + j -k)# and #(2i+ j - 3k)#?
- How does angle affect projectile motion?
- What is the unit vector that is normal to the plane containing #(2i - 3 j +k )# and #(2i+ j - 3k)#?
- A projectile is shot at a velocity of #6 m/s# and an angle of #pi/12 #. What is the projectile's maximum height?

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