Please note that every child is different and develop skills at different paces. So only use this as a guideline to what kids at specific ages are capable of doing. Do not hesitate to see a specialist if you have any concerns about your little one.
Most kids this age can: Run fairly well but can still fall at turns and stops, walk with heel-to-toe motion, climb furniture, kick a large ball, jump in place with both feet together and climb out of a crib. Some kids this age can also go up and down stairs by holding the railings, unassisted by a grownup and ride a low tricycle.
Most 3-year-olds can catch with both arms fully extended, throw a ball with one hand, and run and stop at will suddenly without falling down. They can also go up and down stairs, pump a swing with their legs and then there are some who can jump from higher steps and catch soft objects with hands rather than arms.
Most 4-year-olds can run fast without falling, jump well, balance on one foot for about five seconds, climb up higher equipment and catch a ball thrown from 5 feet, and bend their arms to catch.