QQuestionPhysics
QuestionPhysics
How can velocity be negative? Explain initial and final velocity.
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Step 1:I'll explain velocity and its potential negative values in a clear, step-by-step manner:
Step 2:: Understanding Velocity
Velocity is a vector quantity that describes both the speed and direction of motion. Unlike speed (which is always positive), velocity can be positive or negative depending on the chosen reference frame or direction of motion.
Step 3:: Direction and Sign Convention
- Positive velocity typically indicates motion in a predetermined reference direction (e.g., moving right or moving forward) - Negative velocity indicates motion in the opposite direction of the reference frame
Step 4:: Practical Examples
- The same car moving backward (west) would have a negative velocity of $$-10 \mathrm{m/s}
Let's consider some scenarios:
Step 5:: Mathematical Representation
- $$\Delta t$$ is time interval
Velocity is mathematically represented as: Where:
Step 6:: Initial vs.
- Final velocity ($$v_{f}$$): The velocity at the end of motion
Final Velocity - These can be positive or negative depending on direction
Final Answer
Velocity can be negative when an object moves opposite to the chosen reference direction, indicating a change in position contrary to the positive direction defined in the problem's coordinate system.
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