A car slowing down when the brakes are applied.
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The negative part in negative acceleration is indicating direction, as acceleration is a vector quantity. Speed however, is a scalar and has magnitude only and therefore cannot be negative. An example could be -2.6ms-2 meaning that there is an acceleration of 2.6ms-2 but in the opposite direction to other vectors.
It cannot have negative velocity, it can have negative acceleration.
Yes, acceleration can be positive and negative because acceleration is a vector. It has both direction and magnitude. The direction is what makes it positive or negative. Negative acceleration is usually called deceleration.
If it is gravitational acceleration then it it is positive in downward and negative in upward direction..if it is not gravitational acceleration then it is depending upon the value of acceleration.
Positive acceleration ==> speeding up Negative acceleration ==> slowing down