Really lost on how to explain these whether true or false!! HELP! Much appreciated
Write True or False. If False, Explain why!
1. In a position vs. Time graph, a line whose slope is negative represents an object that is slowing down.
Answer: I circled True but it's not. Can you explain why my answer is wrong.
2. An object can have a non-zero velocity while not accelerating.
Answer: I had False but the answer is True. Why?
3. An object can have a non-zero acceleration while not having a velocity.
Answer: I had TRUE, however, I'm confused on how tho bc I guessed.
slope on a position vs time is speed.
velocity=changeinposition/time
so when position diminishtes in time, speed must be decreasing
2. think of something thrown upwards, it gets to top, then downward. At the top, it is speed zero, but is accelerlating downward the entire time.
1. In a position vs. Time graph, a line whose slope is negative represents an object that is slowing down.
Answer: False
Explanation: In a position vs. time graph, the slope of the line represents the object's velocity, not its acceleration. A negative slope indicates a negative velocity, meaning the object is moving in the negative direction (opposite to the positive direction). It does not necessarily mean the object is slowing down. To determine if the object is slowing down or speeding up, you need to examine the slope of the velocity vs. time graph. If the slope of that graph is negative, it means the object is slowing down.
2. An object can have a non-zero velocity while not accelerating.
Answer: True
Explanation: Velocity is a measure of an object's speed and direction. Acceleration, on the other hand, is the rate at which an object's velocity changes. An object can have a constant velocity (non-zero) if it is moving at a steady speed in a straight line without changing its direction. In this case, the object's acceleration is zero because its velocity is not changing. For example, if you are driving your car on a straight road at a constant speed of 50 mph and not changing lanes or slowing down, your velocity is non-zero, but your acceleration is zero.
3. An object can have a non-zero acceleration while not having a velocity.
Answer: False
Explanation: Acceleration is the rate at which an object's velocity changes. If an object has zero velocity, it means it is not moving (at rest) or has come to a complete stop. In this case, the object's acceleration is also zero because there is no change in its velocity. Non-zero acceleration requires a change in velocity, which means the object must have some initial velocity to begin with. Therefore, an object cannot have a non-zero acceleration if it does not have any velocity.