## How can two velocities be combined?

Velocity is a vector that tells us the speed of an object and the direction the object is moving. This means we combine velocities by vector addition. If two velocities have the same direction we can add them up, if two velocities have the opposite direction they substract from each other.

## When two objects are moving the same velocity in the same direction?

If two bodies are moving in the same direction at the same velocity, then the relative velocity will be zero. (alternatively, this can be switched around to find VBA, which is the velocity of body B relative to body A. This will result in the same value as VAB but in the opposite direction).

**What is speed combined with direction?**

Velocity is often thought of as an object’s speed with a direction. Thus, objects which are accelerating are either speeding up, slowing down or changing directions.

**How do you find the combined velocity after a collision?**

In a perfectly inelastic collision, the two objects stick together and move as one unit after the collision. Therefore, the final velocities of the two objects are the same, v′1=v′2=v′ v 1 ′ = v 2 ′ = v ′ . Thus, m1v1+m2v2=(m1+m2)v′ m 1 v 1 + m 2 v 2 = ( m 1 + m 2 ) v ′ .

### Can an object have two velocities at the same time?

At one instant, the same body can have different velocities relative to say a fixed frame and a moving frame, or relative to two frames moving at different velocities.

### When two objects are moving in parallel straight lines with different velocities in the same direction?

If two objects are moving in same direction, the magnitude of relative velocity of one object with respect to another is equal to difference in magnitude of two velocities. (ii) When two objects are moving along parallel straight lines in opposite direction, angle between them is 180o.

**In which condition the relative velocity of the two bodies moving in the same direction becomes zero?**

The relative velocity becomes zero when the two bodies move in the same direction with the same velocity. When a person sits on the chair, the relative velocity of the person with respect to the chair is zero. The relative velocity of the chair with the person is also zero.

**Which have the same velocity?**

Objects have the same velocity only if they are moving at the same speed and in the same direction. Objects moving at different speeds, in different directions, or both have different velocities.

#### Is velocity speed with direction?

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object’s movement.

#### What is the final velocity of the combined mass?

The final velocity of the combined objects depends on the masses and velocities of the two objects that collided. The units for the initial and final velocities are m/s, and the unit for mass is kg.

**What are the velocities of the two objects after the collision?**

In a collision, the velocity change is always computed by subtracting the initial velocity value from the final velocity value. If an object is moving in one direction before a collision and rebounds or somehow changes direction, then its velocity after the collision has the opposite direction as before.

**What is the relative velocity of two cars in the same direction?**

If both cars are travelling in the same direction, one at 25 ms-1 and the other at 35 ms-1 then their relative velocity is 10 ms-1 (by vector addition). If they are moving in opposite directions, however, the relative velocity of one car with respect to the other is therefore 60ms-1 (See Figure 1).

## When two objects are moving with same velocity in same direction then the relative velocity of first with respect to second is?

If two objects are moving in same direction, the magnitude of relative velocity of one object with respect to another is equal to difference in magnitude of two velocities.

## What is the relative velocity of two moving objects zero?

(A) : Relative velocity is zero when two bodies are moving opposite to each other with same velocity ( R) : Relative velocity of a body does not depend on direction of motion.

**Can the relative velocities of two bodies be greater than the absolute velocity of either body give reasons?**

Solution : Yes, when two bodies move in opposite directions, the relative velocity of each is greater than the individual velocity of either body .

**Which momentum has the same velocity?**

Solution : Let two bodies have masses m and M such that M> m having velocities equal to v. We know that momentum mass `xx` velocity `implies p= mv`. So for bodies having equal velocities, momentum is directly proportional to mass of body. Therefore body with mass M will have more momentum than body of mass m.