If the speed of a particle is doubled, its momentum will also be doubled, because momentum is directly proportional to the speed of the particle. In other words, the momentum of a particle is equal to its mass times its velocity, so if the velocity is doubled, the momentum will also be doubled.
The kinetic energy of a particle is also directly proportional to the square of its speed, so if the speed is doubled, the kinetic energy will increase by a factor of four. This can be expressed mathematically as:
Kinetic energy = (1/2) * mass * velocity^2
If the velocity of a particle is doubled, the kinetic energy will increase by a factor of four, because velocity^2 will increase by a factor of four.
So to summarize, if the speed of a particle is doubled, its momentum will be doubled, and its kinetic energy will increase by a factor of four.