After the jump, the momentum of the child-sled system remains the same as it was before the jump. According to the law of conservation of momentum, the total momentum of a system remains constant unless acted upon by an external force.
The final velocity of the child-sled system depends on the initial velocity of the child and the sled. If the child and the sled were initially at rest, the final velocity would be 0 m/s. However, if the child and sled were both moving before the jump, the final velocity would be a combination of their individual velocities.
The mass of the sled affects the motion of the child-sled system by changing its momentum. The larger the mass of the sled, the more inertia it has and the harder it is to change its state of motion. This means that the child-sled system will have a lower final velocity after the jump if the sled has a larger mass.
Other factors that can affect the motion of the child-sled system include the surface on which the sled is moving, the presence of friction, and the angle at which the child jumps onto the sled. These factors can impact the velocity and trajectory of the child-sled system after the jump.
Momentum is a measure of an object's motion, taking into account both its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction. On the other hand, velocity is a measure of the rate of change of an object's position. It is also a vector quantity, representing both the speed and direction of an object's motion.