give an example of projectile motion;include in your explantion the term velocity , accleration and displacement orginality in your example will be appreciated?
Sure, I can provide an example of projectile motion and explain the terms velocity, acceleration, and displacement in the context of this example.
Imagine you are standing on the ground and throwing a ball horizontally. This scenario represents projectile motion because the ball follows a curved trajectory due to the combination of its horizontal and vertical motions.
Velocity is the rate at which an object changes its position. In this case, the ball has a constant horizontal velocity throughout its motion, as there are no external forces acting on it in the horizontal direction. The vertical velocity of the ball, on the other hand, changes due to the gravitational force acting on it. Initially, the ball has an upward velocity of zero, but as it moves upward, the velocity decreases until it reaches its maximum height and starts to fall down. During the downward motion, the velocity increases in the downward direction.
Acceleration, on the other hand, refers to the rate at which an object changes its velocity. In the horizontal direction, the ball experiences zero acceleration since there are no forces acting on it in that direction. However, in the vertical direction, the ball is subject to the acceleration due to gravity, which is approximately 9.8 m/s². This means that the vertical velocity of the ball changes by 9.8 m/s every second.
Now let's talk about displacement, which is the change in position of an object. In the case of projectile motion, the displacement is the change in the position of the ball from its initial point of release to its final point of landing. Since we are considering a horizontal throw, the horizontal displacement will be equal to the distance traveled by the ball horizontally. The vertical displacement, on the other hand, can be calculated as the difference between the initial height from which the ball was released and the maximum height it reaches during its trajectory.
To summarize, in our example of throwing a ball horizontally, we have projectile motion where the ball exhibits constant horizontal velocity and changing vertical velocity due to the influence of gravity. The ball experiences zero acceleration in the horizontal direction but 9.8 m/s² acceleration in the vertical direction. The displacement in this case consists of the horizontal distance traveled by the ball and the vertical difference between the initial and maximum heights.