Answer:
The first situation is impossible.
Explanation:
"An object has constant non-zero velocity and changing acceleration."
Not possible, acceleration is the change of velocity. For velocity to remain constant the acceleration must remain zero. If acceleration is changing it might be zero at some point, but will not remain zero, so the velocity will change.
"An object has zero velocity but non-zero acceleration."
An object might have a velocity of zero at some point while under an acceleration. An example of this is an object that is thrown upwards. At the top of the trajectory it will have a velocity of zero but will be under the acceleration of gravity.
"An object has constant non-zero acceleration and changing velocity."
This is what any object in free fall do.
"An object has velocity directed east and acceleration directed east."
No problem with that.
"An object has velocity directed east and acceleration directed west."
No problem with that, it will reduce its velocity.
The only impossible situation in the given options is, "an object has constant non-zero velocity and changing acceleration".
Acceleration is defined as the change in velocity per change in time of motion.
[tex]a = \frac{\Delta v}{\Delta t}[/tex]
where;
When an object is moving at constant non-zero velocity and the change in velocity of the object is zero, and the acceleration of the object will be zero.
When the velocity of an object is zero, the acceleration may not be zero if the object increases speed with time.
At a uniform velocity, the acceleration of the object will be constant.
The direction of acceleration and velocity may or may not be the same.
Thus, the only impossible situation in the given options is, "an object has constant non-zero velocity and changing acceleration".
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