A projectile is fired through the air. It is launched from the ground, and travels without interference from wind or air resistance, landing on a raised platform above the field. Compare the following values:
1-Initial speed vs. final speed:
2-Initial vertical velocity vs. final vertical velocity:
3-Initial horizontal velocity vs. final horizontal velocity:
4-Initial acceleration vs. final acceleration:
An object moving with velocity of 15m/s accelerates at 2m/s2 for5seconds.calculate the final velocity
To compare the various values in this scenario, we need to understand the basic principles of projectile motion. Projectile motion refers to the motion of an object that is launched into the air and has a curved trajectory due to the force of gravity acting on it.
1. Initial speed vs. final speed:
The initial speed is the speed at which the projectile is launched from the ground, while the final speed is the speed of the projectile when it reaches the raised platform. In this scenario, assuming no air resistance, the final speed would be equal to the initial speed. This is because the only force acting on the projectile is gravity, which causes it to accelerate downwards but does not affect its horizontal speed.
2. Initial vertical velocity vs. final vertical velocity:
The initial vertical velocity is the component of the initial speed in the vertical direction, while the final vertical velocity is the vertical component of the final speed. Since the object experiences only the force of gravity acting vertically downwards, the initial vertical velocity determines the upward component of the projectile's motion, while the final vertical velocity determines its downward component. The final vertical velocity would be negative, indicating that the object is moving downwards.
3. Initial horizontal velocity vs. final horizontal velocity:
The initial horizontal velocity is the component of the initial speed in the horizontal direction, while the final horizontal velocity is the horizontal component of the final speed. In this scenario, assuming no external forces such as air resistance or wind, the initial and final horizontal velocities would be the same. This is because there is no force acting horizontally on the projectile, allowing it to maintain a constant horizontal velocity throughout its motion.
4. Initial acceleration vs. final acceleration:
Acceleration refers to the rate of change of velocity. In projectile motion, there is a constant acceleration due to gravity acting vertically downward. Initially, the projectile experiences an acceleration due to gravity acting downward. However, once the projectile is launched, there are no further horizontal or vertical forces acting on it. As a result, the final acceleration would only be due to the force of gravity acting vertically downward. The magnitude of the acceleration remains constant throughout the projectile's motion, regardless of its initial or final position.