How to generate a random numbers with increase in percentage?

I need to generate a uniform random speed with minimum speed 10 m/s and maximum 40 m/s. For that I'm using :

rand_speed(step) = min_speed+rand*(max_speed-min_speed);

What I'm asking for is to generate the next random speed with 10 percent increase from the previous speed assigned.

Is there any MATLAB function that generates random speed with this constraint.

[Roger Stafford]

There would appear to be an inherent contradiction in the statement “next random speed with 10 percent increase from the previous speed.” Either the next speed is an exact ten percent increase or it is somehow random. The two concepts don’t match. Perhaps you mean that the expected value of the next speed should be a ten percent increase?

[Dhanuja Elizabeth Thomas]

Sorry, like next speed is an exact 10 percent increase from previous speed.

Answer 1

[Roger Stafford]

Then do

   next_speed = 1.1*rand_speed