Final answer:
The question pertains to the motion of two particles and their velocities. Particle A has a velocity of 12 m/s, whereas Particle B moves at 20 m/s at an angle with the x-axis. The correct statement is that these two particles have different speeds.
Step-by-step explanation:
The question involves determining the relationship between the velocities and directions of two particles, A and B. Particle A is moving with a velocity of 12 m/s along the x-axis, while particle B moves at a velocity of 20 m/s in a direction making an angle of 53° with the x-axis. The question asks to choose from various statements about their motion.
- Particles A and B are moving in the same direction if they are both moving along the x-axis in the positive or negative direction.
- Particles A and B are moving in opposite directions if one is moving along the positive x-axis and the other along the negative x-axis or vice versa.
- Particles A and B have the same speed if the magnitude of their velocities is the same, even if they are moving in different directions.
- Particles A and B have different speeds if the magnitude of their velocities differs.
Based on the information given, Particle A and B have different speeds since 12 m/s is not equal to 20 m/s, regardless of direction. The angle given for Particle B does not affect the comparison of speeds since it only specifies the direction of B's velocity. Therefore, the most accurate statement is that Particle A and B have different speeds.