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Velocity & Acceleration in different coordinate system Video Lecture | Crash Course for IIT JAM Physics
FAQs on Velocity & Acceleration in different coordinate system Video Lecture - Crash Course for IIT JAM Physics
| 1. What is the difference between velocity and acceleration? |  |
Ans. Velocity is a vector quantity that represents the rate at which an object changes its position with respect to time. It includes both the speed and direction of the object's motion. On the other hand, acceleration is also a vector quantity that represents the rate at which an object changes its velocity with respect to time. It measures how quickly the object's speed and/or direction changes.
| 2. How are velocity and acceleration related in a different coordinate system? | |
Ans. In a different coordinate system, the relationship between velocity and acceleration remains the same. The velocity of an object can be determined by taking the derivative of its position vector with respect to time, while the acceleration can be determined by taking the derivative of its velocity vector with respect to time. The coordinate system only affects the values and components of these vectors, but not the underlying relationship.
| 3. Can velocity and acceleration have different magnitudes in different coordinate systems? | |
Ans. Yes, velocity and acceleration can have different magnitudes in different coordinate systems. The magnitudes of these vectors depend on the choice of coordinate system and the direction in which the object is moving. For example, if an object is moving along the x-axis in one coordinate system and then the coordinate system is rotated, the velocity and acceleration vectors may have different magnitudes in the new coordinate system.
| 4. How can velocity and acceleration be represented in a polar coordinate system? | |
Ans. In a polar coordinate system, velocity and acceleration can be represented using radial and tangential components. The radial component represents the speed of the object in the direction away from the origin, while the tangential component represents the change in the direction of the object's motion. The magnitude of velocity is given by the square root of the sum of the squares of the radial and tangential components, and the magnitude of acceleration is given by the derivative of the magnitude of velocity with respect to time.
| 5. Can velocity and acceleration be negative in different coordinate systems? | |
Ans. Yes, velocity and acceleration can be negative in different coordinate systems. The sign of these vectors depends on the direction of the object's motion with respect to the chosen coordinate system. If the object is moving in the negative direction of one axis, the corresponding component of velocity or acceleration will be negative. The choice of coordinate system does not affect the possibility of having negative values for velocity and acceleration.
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