1. Yes, it is possible for displacement to be zero but not distance. This happens when the initial and final positions of an object are the same. For example, if you walk around a circular track and end up at the same place you started, your displacement is zero but your distance is the total length of the track. Displacement will be equal to distance when the motion is in a straight line without any change in direction.

2. A speedometer measures a car's speed, not its velocity. Speed is a scalar quantity (it only has magnitude) while velocity is a vector quantity (it has both magnitude and direction). A speedometer does not indicate the direction of movement, hence it measures speed.

3. No, an object cannot be at rest and accelerating at the same time. Acceleration is the rate of change of velocity. If an object is at rest, its velocity is zero and if it remains at rest, its velocity does not change, hence there is no acceleration.

4. Yes, an object can have zero acceleration and nonzero velocity at the same time. For example, a car moving at a constant speed on a straight road has a nonzero velocity but zero acceleration because its speed (and hence its velocity) is not changing.

5. The acceleration of the ball is 9.8 m/s² downwards. This is because the acceleration due to gravity is always directed downwards and has a magnitude of approximately 9.8 m/s².

6. A situation in which the speed of an object is constant while the velocity is not is when an object is moving in a circular path at a constant speed. The speed is constant but the direction of the velocity is continuously changing, hence the velocity is not constant.

7. Yes, an object can have a northward velocity and a southward acceleration. This would occur if the object is moving north but slowing down. The velocity is northward but the acceleration, which is the rate of change of velocity, is southward.

8. As a freely falling object speeds up, its acceleration stays the same. The acceleration due to gravity is constant near the surface of the Earth and is approximately 9.8 m/s².

9. The ball will have a speed of 5 m/s when it returns to the starting point. The speed of the ball when it is thrown upwards with an initial speed and when it returns to the same height is the same (ignoring air resistance).

Question

1. Yes, it is possible for displacement to be zero but not distance. This happens when the initial and final positions of an object are the same. For example, if you walk around a circular track and end up at the same place you started, your displacement is zero but your distance is the total length of the track. Displacement will be equal to distance when the motion is in a straight line without any change in direction.

2. A speedometer measures a car's speed, not its velocity. Speed is a scalar quantity (it only has magnitude) while velocity is a vector quantity (it has both magnitude and direction). A speedometer does not indicate the direction of movement, hence it measures speed.

3. No, an object cannot be at rest and accelerating at the same time. Acceleration is the rate of change of velocity. If an object is at rest, its velocity is zero and if it remains at rest, its velocity does not change, hence there is no acceleration.

4. Yes, an object can have zero acceleration and nonzero velocity at the same time. For example, a car moving at a constant speed on a straight road has a nonzero velocity but zero acceleration because its speed (and hence its velocity) is not changing.

5. The acceleration of the ball is 9.8 m/s² downwards. This is because the acceleration due to gravity is always directed downwards and has a magnitude of approximately 9.8 m/s².

6. A situation in which the speed of an object is constant while the velocity is not is when an object is moving in a circular path at a constant speed. The speed is constant but the direction of the velocity is continuously changing, hence the velocity is not constant.

7. Yes, an object can have a northward velocity and a southward acceleration. This would occur if the object is moving north but slowing down. The velocity is northward but the acceleration, which is the rate of change of velocity, is southward.

8. As a freely falling object speeds up, its acceleration stays the same. The acceleration due to gravity is constant near the surface of the Earth and is approximately 9.8 m/s².

9. The ball will have a speed of 5 m/s when it returns to the starting point. The speed of the ball when it is thrown upwards with an initial speed and when it returns to the same height is the same (ignoring air resistance).

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