In which of the following cases does a car have a negative velocity and a positive acceleration? A car that is traveling in the Check all that apply. Check all that apply.
a.+x direction decreasing in speed.
b.+x direction increasing in speed.
c.−x direction decreasing in speed.
d.−x direction increasing in speed.
e.−x direction at a constant 20 m/s.

Where Vf is the final velocity of the car, Vi id the initial velocity of the car, a is the acceleration of the car and t the time take by the car travelling.

Assuming that the magnitude of Vf is greater than the magnitude Vi.

If the car is moving with an increasing speed in the negative x direction the velocity of the car Vf is negative. As a result from the equation it is clear that the acceleration of the car will be negative. However say the brakes are applied and the car is now moving in the negative x direction with a decreasing speed then the velocity of the car Vf is positive. As a result from the equation of motion it is clear that the acceleration will be positive.

Therefore the car is moving in the -x direction deacreasing in speed.

topeadeniran2 topeadeniran2 · Answer 2 · 2021-10-26T15:56:38+02:00

The option where a car has a negative velocity and a positive acceleration is C. −x direction decreasing in speed.

Positive acceleration occurs when the car moves in a positive direction and the rate of change is positive too.

The car will have a negative velocity and a positive acceleration at -x direction decreasing in speed. It should be noted that since the car is moving at an increasing speed in the negative x direction, this will lead to the velocity being negative.

Therefore, the above will result in the acceleration of the car being negative. In conclusion, the correct option is C.

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