A body may have negative acceleration but never negative speed. why?
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Answer:
Because speed is a scalar quantity which has a magnitude but no direction whereas acceleration is a vector quantity which has both magnitude and direction
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A body may have negative acceleration but never negative speed because the ratio of distance travelled and the time taken by a body can be zero but not negative.
- Speed = Distance / Tine
- Since distance and time are positive quantities and speed is obtained by the ratio of these two quantities, speed cannot be negative.
- Also, speed is a scalar quantity which means it has only magnitude but no direction.
Acceleration may be negative since acceleration is the change in velocity by time. If the final velocity is less than the initial velocity, then the value of acceleration may be negative.
- Acceleration = Final velocity - initial velocity / time
- Acceleration is a vector quantity which means it has both magnitude and direction.
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