Yes, velocity of an object can be negative. This can be better explained with object in free space like aircraft. Aircraft's speed is measured relative to direction in which it is flying, its usually called airspeed. You might have seen in many modern fighter aircraft videos that's maneuvering, they fly straight up and then they fall vertically. During this vertical fall, aircraft is accelerating downwards & due to suction created in-front of pitot tube (Device used to measure airspeed) velocity measured is negative.
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Yes, it is possible for the velocity of an object to be negative when its acceleration is positive. This would occur when the object is moving in the negative direction while its velocity is decreasing, due to a positive acceleration acting in the opposite direction.
Sure. That's exactly the situation when you're driving, you have
your foot on the brake, and you're in the process of slowing down.
Velocity and acceleration are related in that acceleration is the rate of change of velocity over time. If an object is accelerating, its velocity is changing. A positive acceleration means the object is speeding up, while a negative acceleration means the object is slowing down.
An object slowing down can have an acceleration that is not negative if it is moving in the opposite direction of its velocity. In this case, the acceleration would be in the same direction as the object's motion, even though it is slowing down. This can happen, for example, when an object is moving in the positive direction but experiencing a negative acceleration due to a force in the negative direction.
A changing slope on a velocity-time graph indicates that the object's acceleration is changing. If the slope is increasing, the acceleration is positive, and if the slope is decreasing, the acceleration is negative. A flat slope indicates constant velocity.
These two cases are represented by "positive" acceleration. The opposite cases (slowing down in the positive direction or speeding up in the negative direction) are represented by "negative" acceleration.
The rate of change of velocity is known as acceleration. It measures how quickly an object's velocity is changing, either in magnitude or direction. Positive acceleration indicates speeding up, negative acceleration (deceleration) indicates slowing down, and zero acceleration indicates a constant velocity.