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When a car’s velocity is negative and its acceleration is negative, what is happening to the car’s motion?

Respuesta :

skyluke89

The car is speeding up in the negative direction

Explanation:

Velocity and acceleration are both vectors, so they both consist of a magnitude and a direction.

We now have to understand the meaning of the direction of these two vectors:

  • For the velocity, the direction indicates simply the direction of motion of the object. Therefore, if we take the positive x-axis as positive direction, a negative velocity means that the object is travelling towards the negative x-direction
  • For the acceleration, its direction indicates in which direction the velocity of the object is increasing. Therefore, in the example above, it means that the object is accelerating in the negative direction.

The relationship between velocity and acceleration is

[tex]v=u+at[/tex]

where

v is the velocity at time t

u is the initial velocity

a is the acceleration

In this problem, we have:

  • the initial velocity is negative (-u)
  • the acceleration is negative (-a)

So, the previous equation becomes

[tex]v=-u-at[/tex]

which means simply that the magnitude of the velocity (v) is increasing, but in the negative direction. Therefore, the object is speeding up in the negative direction.

Learn more about acceleration:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

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