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A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himself
- a)The ball will always return to him
- b)The ball will never return to him
- c)The ball will return to him if the cart moves with constant velocity
- d)The ball will fall behind him if the cart moves with some acceleration
Correct answer is option 'C,D'. Can you explain this answer?
Verified Answer
A man on a rectilinearly moving cart, facing the direction of motion, ...
The ball will return to him if the cart moves with a constant velocity because the ball will travel the same amount of distance as the cart in between the time interval when it moves up and returns to the same horizontal level. But it will fall behind if the cart has acceleration because then the amount of distance moved by the cart will be more.
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A man on a rectilinearly moving cart, facing the direction of motion, ...
Explanation:
Scenario:
A man is standing on a cart that is moving in a rectilinear motion (in a straight line) with a certain velocity. The man throws a ball straight up into the air while facing the direction of motion.
Analysis:
When the man throws the ball straight up, it experiences two types of motion: vertical motion due to the throw and horizontal motion due to the motion of the cart. To determine whether the ball will return to the man, we need to consider the vertical and horizontal components of its motion.
Vertical Motion:
The vertical motion of the ball is independent of the cart's motion. Ignoring air resistance, the ball will follow a parabolic trajectory and eventually fall back down due to the force of gravity. Therefore, the ball will always return to the man vertically, regardless of the cart's motion.
Horizontal Motion:
The horizontal motion of the ball is determined by the cart's motion. If the cart is moving with a constant velocity, the ball will maintain the same horizontal velocity as the cart throughout its flight. In this case, the ball will land back in the man's hand since it travels with the same horizontal velocity as the cart.
However, if the cart is accelerating, the horizontal velocity of the ball will not match the cart's velocity during the entire flight. As a result, the ball will fall behind the man and not land back in his hand.
Conclusion:
Therefore, the ball will return to the man if the cart moves with a constant velocity, but it will fall behind him if the cart moves with some acceleration. Hence, the correct answers are options C and D.
Scenario:
A man is standing on a cart that is moving in a rectilinear motion (in a straight line) with a certain velocity. The man throws a ball straight up into the air while facing the direction of motion.
Analysis:
When the man throws the ball straight up, it experiences two types of motion: vertical motion due to the throw and horizontal motion due to the motion of the cart. To determine whether the ball will return to the man, we need to consider the vertical and horizontal components of its motion.
Vertical Motion:
The vertical motion of the ball is independent of the cart's motion. Ignoring air resistance, the ball will follow a parabolic trajectory and eventually fall back down due to the force of gravity. Therefore, the ball will always return to the man vertically, regardless of the cart's motion.
Horizontal Motion:
The horizontal motion of the ball is determined by the cart's motion. If the cart is moving with a constant velocity, the ball will maintain the same horizontal velocity as the cart throughout its flight. In this case, the ball will land back in the man's hand since it travels with the same horizontal velocity as the cart.
However, if the cart is accelerating, the horizontal velocity of the ball will not match the cart's velocity during the entire flight. As a result, the ball will fall behind the man and not land back in his hand.
Conclusion:
Therefore, the ball will return to the man if the cart moves with a constant velocity, but it will fall behind him if the cart moves with some acceleration. Hence, the correct answers are options C and D.
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A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer?
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A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer?.
A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfa)The ball will always return to himb)The ball will never return to himc)The ball will return to him if the cart moves with constant velocityd)The ball will fall behind him if the cart moves with some accelerationCorrect answer is option 'C,D'. Can you explain this answer?.
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