Explain the difference between the motions of parabolic and vertical motion.

Parabolic motion and vertical motion are two different types of motion that objects can undergo.

Vertical motion refers to the up and down movement of an object in a straight vertical line. When an object is subject only to the force of gravity, it undergoes vertical motion. An example of vertical motion is the motion of a ball being thrown straight up and then falling back down. The object will accelerate downward due to gravity, reaching its maximum speed when it reaches the ground.

On the other hand, parabolic motion refers to the curved trajectory followed by an object when it is launched at an angle to the ground. In this case, the object experiences both vertical and horizontal motion simultaneously. The vertical component of parabolic motion is similar to vertical motion alone, as described earlier. However, there is an additional horizontal component, which causes the object to follow a curved path. An example of parabolic motion is the path followed by a projectile like a baseball, which is thrown at an angle.

To understand the difference between the two motions, it's important to consider how they are influenced by the forces acting on the object. In vertical motion, the only force acting on the object is gravity, pulling it downward. This results in a straight, vertical trajectory. In parabolic motion, the object is subject to both gravity and an initial horizontal force. This horizontal force causes the object to move horizontally as well as vertically, resulting in a curved path.

To calculate and predict the motion of objects undergoing vertical and parabolic motion, you can use mathematical equations of motion, such as Newton's laws of motion and kinematic equations. These equations can help determine the acceleration, velocity, and displacement of the object at any given time during its motion.