A car is travelling on a highway
Can it have a negative velocity & a positive acceleration at the same time?
Can the car change d direction of its velocity when travelling with constant acceleration?
If it's sliding backwards but slowing down, that's v<0 a>0
a car traveling with constant speed in a circle has a constant acceleration (toward the center of the circle) but a changing velocity.
To answer your first question, yes, a car can have a negative velocity and a positive acceleration at the same time. Velocity is a vector quantity with both magnitude and direction, while acceleration is the rate of change of velocity. So, if a car is moving in the negative direction (negative velocity) and its speed is increasing (positive acceleration), the car will have a negative velocity and a positive acceleration concurrently.
Regarding your second question, when a car is traveling with constant acceleration, it cannot change the direction of its velocity. This is because constant acceleration implies a consistent change in speed and direction over time. If the direction of the car's acceleration changes, the velocity of the car will change accordingly. However, the car will not change its direction of motion without a change in acceleration.