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Identify the correct statement related t...

Identify the correct statement related to the projectile motion.

A

(a) It is uniformly accelerated everywhere

B

(b) It is uniformly accelerated everywhere except at the highest position where it is moving with constant velocity

C

(c)Acceleration is never perpendicular to velocity

D

(d) None of the above

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Identify the correct statement related to the projectile motion," we will analyze each of the provided statements one by one. ### Step-by-Step Solution: 1. **Understanding Projectile Motion**: - Projectile motion refers to the motion of an object that is thrown into the air and is subject to the acceleration due to gravity. The path followed by the object is a parabola. 2. **Analyzing Statement A**: - **Statement**: "It is uniformly accelerated everywhere." - **Explanation**: In projectile motion, the only acceleration acting on the object is due to gravity (denoted as 'g'), which acts downward throughout the entire trajectory. This means that the object experiences a constant acceleration of 'g' in the vertical direction at all points in its path. - **Conclusion**: This statement is **correct**. 3. **Analyzing Statement B**: - **Statement**: "It is uniformly accelerated everywhere except at the highest position where it is moving at constant velocity." - **Explanation**: At the highest point of the projectile's trajectory, the vertical component of the velocity is zero, but the horizontal component remains constant. However, the acceleration due to gravity is still acting downward. Thus, the object is not moving at constant velocity overall; it is still experiencing acceleration due to gravity. - **Conclusion**: This statement is **incorrect**. 4. **Analyzing Statement C**: - **Statement**: "Acceleration is never perpendicular to velocity." - **Explanation**: At the highest point of the projectile's motion, the velocity is entirely horizontal (the vertical component is zero), while the acceleration due to gravity is vertical (downward). Therefore, at this point, the acceleration is indeed perpendicular to the velocity. - **Conclusion**: This statement is **incorrect**. 5. **Final Conclusion**: - The only correct statement related to projectile motion is **Statement A**: "It is uniformly accelerated everywhere." ### Summary of the Correct Statement: - The correct statement is that in projectile motion, the object is uniformly accelerated everywhere due to the constant acceleration of gravity acting on it.

To solve the question "Identify the correct statement related to the projectile motion," we will analyze each of the provided statements one by one. ### Step-by-Step Solution: 1. **Understanding Projectile Motion**: - Projectile motion refers to the motion of an object that is thrown into the air and is subject to the acceleration due to gravity. The path followed by the object is a parabola. 2. **Analyzing Statement A**: ...
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