True/False

3)The position-time graph of an object moving with a constant average velocity is always a straight line.

True

4)A time interval is a scalar quantity.

True

correct on both.

True

Yes, both statements are true.

For statement 3, the position-time graph of an object moving with a constant average velocity will indeed be a straight line. This is because constant average velocity means that the object covers equal distance in equal intervals of time. Therefore, the position of the object increases linearly with time, resulting in a straight line on the graph.

To understand this concept, you can calculate the average velocity of the object by dividing the change in position by the change in time. If the average velocity remains constant, then the slope of the position-time graph will also remain constant, resulting in a straight line.

For statement 4, a time interval is a scalar quantity. Scalar quantities are those that only have magnitude but no direction. Time, being a measure of the duration between two events, only has a numerical value and does not have a specific direction associated with it. Therefore, time intervals are considered scalar quantities.

To verify this, you can consider the basic properties of scalar quantities. They can be added, subtracted, and multiplied by a scalar without changing the overall nature of the quantity. Time intervals follow these properties and are considered scalar quantities in physics.