CAn an object be increasing its speed with negative acceleration-----explain why or why not
give an example of when both velocity and acceleration are neg.
can the magnitude of a vector ever equal or be less than one of its components?
If you are riding a train that speeds past another in the same direction on an adjacent track, it appears that the slower moving train is moving backwards. EXPLAIN WHY?
Can the vector of a magnitude have a non zero component?
I have a test tomorrow----and need to make sure I can understand the conceptual stuff---I have a little bit of a sense on what the answers to these questions might be----but Im not sure-----some guidance would help
THANKS
if an object's velocity is in the same direction as it's acceleration then the speed is increasingex: dropping a ball,negative velocity n negative acceleration so speed increases
opposite direction then object will slow
ex: throwing ball upward -velocity is positive but acceleraion is negative due to gravity =-9.81m/s^2
vector magnitude can be = but not less than it's componet ex: straight line has y component of 0 but the mag of vector is = to the x component
Sure! I'd be happy to help you understand the concepts behind these questions.
1. Can an object be increasing its speed with negative acceleration?
Acceleration is the rate at which an object changes its velocity. When acceleration is negative, it means that the object is slowing down or decreasing its velocity. In order for an object to be increasing its speed, the acceleration must be positive. So, an object cannot be increasing its speed with negative acceleration.
2. Give an example of when both velocity and acceleration are negative.
When both velocity and acceleration are negative, it means that the object is moving in the opposite direction of its initial position and slowing down. For example, if you throw a ball upward, its velocity will be positive initially, but as it reaches the highest point and starts coming back down, both its velocity and acceleration will be negative.
3. Can the magnitude of a vector ever equal or be less than one of its components?
The magnitude of a vector represents its overall length or size, and it is calculated using the Pythagorean theorem. If a vector has multiple components, such as x and y, the magnitude can never be less than the length of either component. It can only be equal to or greater than the length of any one component.
4. If you are riding a train that speeds past another in the same direction on an adjacent track, it appears that the slower moving train is moving backwards. Why does this happen?
This phenomenon is known as the relative motion or the relative velocity of objects. When you are on a faster-moving train and observe a slower-moving train, your frame of reference is moving faster. As a result, the slower-moving train appears to be moving backward relative to your frame of reference.
5. Can the vector of a magnitude have a non-zero component?
Yes, the vector of a magnitude can have non-zero components. The magnitude of a vector only represents the overall length or size of the vector, while its components determine the direction and magnitude of its effect in each specific direction. So, even if the magnitude of a vector is non-zero, its components can still be non-zero, as long as they collectively contribute to the overall magnitude of the vector.
I hope this explanation helps you understand these concepts better! If you have any more questions or need further clarification, feel free to ask. Good luck on your test!