A ball is thrown vertically upwards. Which of the following graph represent velocity-time graph of the ball during its flight (air resistance is neglected)
Question
A ball is thrown vertically upwards. Which of the following graph represent velocity-time graph of the ball during its flight (air resistance is neglected)
Solution
To determine the correct graph representing the velocity-time graph of the ball during its flight, we need to consider the motion of the ball when it is thrown vertically upwards.
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Initially, when the ball is thrown upwards, its velocity is positive and decreasing due to the gravitational force acting in the opposite direction. This means that the velocity-time graph should start with a positive slope and gradually decrease.
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As the ball reaches its maximum height, its velocity becomes zero. This indicates that the velocity-time graph should have a point where the slope is zero.
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After reaching the maximum height, the ball starts to fall downwards. Its velocity becomes negative and increases in magnitude due to the acceleration of gravity. Therefore, the velocity-time graph should have a negative slope that increases in magnitude.
Based on these considerations, the correct graph representing the velocity-time graph of the ball during its flight would be a graph that starts with a positive slope, reaches a point with zero slope, and then has a negative slope that increases in magnitude.
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