The correct option is D

Horizontal component of a projectile motion

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Projectile motion:

The diagrammatic representation of the projectile motion of a projectile is given below:

1. Here, u is the velocity of the projectile, ux is the horizontal component and uy is the vertical component of the velocity of the projectile at an instant.
2. Here, θis the angle of projection and A is the point where the projectile has the maximum height.
3. The only acceleration acting on the projectile is gravity. Hence, the direction of acceleration will be downwards. The downward direction is considered a negative direction here.

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Circular motion:

The diagrammatic representation of the uniform circular motion is given below:

1. In a uniform circular motion, a particle can only move if it has some centripetal force acting towards the center of the circle.
2. As the formula of force is Force=mass×acceleration, there must be an acceleration acting towards the center throughout the circular motion.

Explanation for correct option:

Option D:

1. In a projectile motion, the only acceleration is due to gravity.
2. The direction of the acceleration is downwards due to which it will only act on the vertical component of the velocity of the particle.
3. Hence, the horizontal component of the velocity of the particle remains constant throughout the motion.

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Explanation for incorrect options:

Option A:

1. In a projectile motion, the only acceleration is due to gravity.
2. The direction of the acceleration is downwards due to which it will only act on the vertical component of the velocity of the particle.
3. Hence, the vertical component of a projectile motion is an example of accelerated motion.

Option B:

1. When a particle is moving in a circular motion at a constant speed, it is said to be moving in a uniform circular motion.
2. Acceleration is the rate of change in velocity.
3. It is an example of accelerated motion because the direction of the particle is changing constantly due to which the velocity of the particle is changing.

Option C:

1. Earth’s motion about the sun is an example of accelerated motion because it is moving around the sun in a circular motion.
2. In a circular motion, a particle can only move if it has some centripetal force acting towards the center of the circle. Hence, it is accelerating.

Hence, option D is the correct option.

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Category: WHICH