Which of the following is a vector quantity?

speed
weight
distance traveled
mechanical energy

Which of the following is a scalar quantity?

work
velocity
acceleration
displacement

http://www.physicsclassroom.com/class/1dkin/u1l1b.cfm

weight is a vector... work is a scalar

To determine which of the given quantities are vector and scalar quantities, let's understand the differences between them.

Vector quantities are those that have both magnitude and direction. They are represented as arrows in physics. For example, if you consider velocity, it includes both magnitude (speed) and direction.

Scalar quantities, on the other hand, only have magnitude but no specific direction associated with them. Scalar quantities are represented by a single value or number.

Now, let's look at the given options:

1. Speed: Speed is a scalar quantity as it represents the magnitude of the motion without any direction specified.
2. Weight: Weight is a force, which is a vector quantity because it has both magnitude and direction.
3. Distance Traveled: Distance traveled is a scalar quantity as it only represents the magnitude of the distance covered without any specific direction.
4. Mechanical Energy: Mechanical energy is a scalar quantity as it represents the magnitude of the energy possessed without any direction specified.

So, the vector quantity from the given options is weight, and the scalar quantities are speed, distance traveled, and mechanical energy.

Now let's move on to the second part of the question:

1. Work: Work is a scalar quantity. It measures the amount of energy transferred or done on an object and does not have a direction associated with it.
2. Velocity: Velocity is a vector quantity as it has both magnitude (speed) and direction.
3. Acceleration: Acceleration is a vector quantity as it represents the rate at which an object's velocity changes over time and also includes the direction of change.
4. Displacement: Displacement is a vector quantity. It measures the change in position of an object, considering both magnitude and direction.

So, the scalar quantity from the given options is work, and the vector quantities are velocity, acceleration, and displacement.