Question

multiple choice question
if an object is speeding up, which of the following is true?
the signs of the velocity and acceleration are the same.
the magnitude of velocity and acceleration are always zero.
distance and speed are inversely proportional.
the signs of the velocity and acceleration are different.

Explanation:

When an object speeds up, its velocity's magnitude increases. If velocity is positive (moving in a positive direction), positive acceleration adds to the velocity, increasing its magnitude. If velocity is negative (moving in a negative direction), negative acceleration (acting in the same negative direction) increases the magnitude of the negative velocity, meaning the object speeds up in the negative direction. So velocity and acceleration must have the same sign. The other options are incorrect: non-zero speed means velocity magnitude isn't zero; distance and speed are directly related over constant time; opposite signs would mean the object slows down.

Answer:

The signs of the velocity and acceleration are the same.