Mirror reflection. PLS help

[strawberry7]

Homework Statement

1. Dubbie is moving directly along a normal line toward a plain mirror at a speed of 3.5 m/s, what is the speed of the image relative to Dubbie?
2. What is the speed of the image, relative to Dubbie, if Dubbie walk away from the mirror surface at 3.5 m/s at an angle of 300 to the mirror surface

Homework Equations

Do = Di

The Attempt at a Solution

I think that both of the answers are 3.5 m/s. Except I am pretty sure that the 30 degree in the 2nd question will change something somehow, but I'm not sure which equation to use...

 

[Mentz114]

1. If two thing move towards a single point between them, with velocities v and -v, what is their relative velocity ?

2. You'll have to draw a triangle and solve this by trigonometry.

3. Your efforts so far are not impressive. Try to draw a diagram, and imagine the situation as if it were a movie.

 

[m2003]

I would say that your initial thoughts are correct. In the first scenario, the speed of the image relative to Dubbie would also be 3.5 m/s, as they are both moving directly towards the mirror at the same speed. In the second scenario, the speed of the image relative to Dubbie would still be 3.5 m/s, but the angle at which Dubbie is moving away from the mirror would change the angle at which the image is reflected. This would not affect the speed of the image.

To calculate the angle of reflection, you can use the law of reflection, which states that the angle of incidence (in this case, 30 degrees) is equal to the angle of reflection. So the image would be reflected at an angle of 30 degrees from the mirror surface. However, this does not change the speed of the image relative to Dubbie.

In summary, both answers are correct, and the angle at which Dubbie is moving away from the mirror would not affect the speed of the image relative to Dubbie.