question 18 (1 point) can an object with a constant change direction when its acceleration is constant? support your answer with an example. no, this is not possible because it is always speeding up. no, this is not possible because it is always speeding up or slowing down, but it can never turn around. yes, this is possible, and a car turning right at a stop sign is an example. yes, this is possible, and a car that starts from rest, speeds up, slows down to a stop and then backs up is an example.

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# Brief Explanations:
To determine if an object can change direction with constant acceleration, we analyze the concept of acceleration (a vector, involving both magnitude and direction). When acceleration is constant, its magnitude and direction don't change. For example, consider an object thrown upward: gravity provides constant downward acceleration. The object slows down while moving up (velocity upward, acceleration downward), stops at the peak, then speeds up downward (velocity downward, acceleration still downward). Here, the direction of motion changes (up to down) while acceleration (due to gravity) remains constant.

Now, let's evaluate the options:
- Option 1: "No, this is not possible because it is always speeding up." → Incorrect. Acceleration can cause slowing down (if velocity and acceleration are in opposite directions) and direction change.
- Option 2: "No, this is not possible and a car is always speeding up or slowing down, but it never turns around." → Incorrect. Cars do turn around (change direction) and can have constant acceleration (e.g., uniform circular motion has constant magnitude acceleration, but direction changes—though for linear motion, the upward - thrown object is a better example, but the "car never turns around" claim is false).
- Option 3: "Yes, this is possible, and a car that starts from rest, speeds up, slows down to a stop and then backs up is an example." → This example is more about changing acceleration (speeding up, slowing down, then speeding up backward would involve changes in acceleration's magnitude or direction in a complex way). The simpler and more accurate example is the object in free - fall (thrown upward). However, the key idea is that direction change with constant acceleration is possible.
- Option 4: "Yes, this is possible, and a ball that starts from rest, speeds up, slows down to a stop and then backs up is an example." → Similar to the car example, this involves changes in acceleration (to slow down, stop, and then speed up backward, the acceleration would need to change in magnitude or direction in a non - constant way for the "slowing down, stopping, and backing up" part). The correct example is an object under constant acceleration (like gravity) changing direction, but the option's example is not the best, but the "Yes" part is correct. Wait, actually, the best way is to think about the definition: acceleration is the rate of change of velocity. If acceleration is constant, the velocity vector changes at a constant rate. So, if the initial velocity is in one direction and acceleration is in the opposite direction, the velocity will decrease, reach zero, and then become negative (change direction) while acceleration remains constant. So the correct answer is the one that says "Yes, this is possible..." (either option 3 or 4, but let's re - check the options. Wait, the options:

Wait the options (let's re - list):

1. No, this is not possible because it is always speeding up.
2. No, this is not possible and a car is always speeding up or slowing down, but it never turns around.
3. Yes, this is possible, and a car that starts from rest, speeds up, slows down to a stop and then backs up is an example.
4. Yes, this is possible, and a ball that starts from rest, speeds up, slows down to a stop and then backs up is an example. Wait, maybe there was a typo, and the correct example - based option (the one with the ball or car) is correct in the "Yes" part. But the key is that direction change with constant acceleration is possible. So the correct option is the one that says "Yes, this is possible..." (either 3 or 4, but the best example is an object thrown upward, but among the given options, the "Yes" options are correct in the conclusion, and the example, while not perfect, is trying to illustrate direction change. So the correct answer is the option with "Yes, this is possible..." (let's assume the correct option is the one like "Yes, this is possible, and a ball (or car)..."—probably the intended answer is the "Yes" option, say if we take the option that is "Yes, this is possible, and a ball that starts from rest...", but actually, the most accurate is that direction change with constant acceleration is possible, so the correct option is the "Yes" one. Let's assume the correct option is the fourth one (or third, but the key is that the answer is a "Yes" option.

Wait, actually, the correct answer is that an object can change direction when acceleration is constant. For example, a ball thrown vertically upward has a constant downward acceleration (due to gravity). It moves upward, slows down (since velocity and acceleration are in opposite directions), stops at the top, then moves downward (changes direction) while the acceleration remains constant (downward). So the correct option is the one that says "Yes, this is possible...". So among the given options, the correct one is the one with the ball (or car) example, so let's say the option: "Yes, this is possible, and a ball that starts from rest, speeds up, slows down to a stop and then backs up is an example." (assuming that's the correct - conclusion option, even if the example is a bit flawed in terms of acceleration constancy, but the conclusion is correct).

# Answer:
The correct option is: Yes, this is possible, and a ball that starts from rest, speeds up, slows down to a stop and then backs up is an example. (Or the corresponding option with the car, depending on the exact wording, but the key is the "Yes" option that acknowledges direction change with constant acceleration is possible.)

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