A boy standing at the point O in the given diagram, throws a ball three times with the same force, but projecting it along different inclinations from the ground. The results of the throws have been plotted in the diagram. Which one of the following is a

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Q: 109 (IAS/1997)
A boy standing at the point ‘O’ in the given diagram, throws a ball three times with the same force, but projecting it along different inclinations from the ground. The results of the throws have been plotted in the diagram.
Which one of the following is a valid conclusion ?

question_subject: 

Science

question_exam: 

IAS

stats: 

0,9,18,6,5,7,9

keywords: 

{'initial inclination': [0, 1, 0, 0], 'different inclinations': [0, 1, 0, 0], 'diagram': [0, 3, 2, 5], 'throw': [0, 1, 0, 1], 'throws': [0, 1, 0, 0], 'valid conclusion': [0, 1, 0, 0], 'same force': [0, 1, 0, 0], 'height': [0, 0, 1, 2], 'ball': [1, 3, 13, 12], 'ground': [2, 1, 4, 17], 'results': [0, 2, 0, 1]}

Option 1 suggests that the larger the initial inclination (the angle at which the ball is thrown with respect to the ground), the longer the throw. However, it does not always hold true. The length of the throw depends on multiple factors such as the amount of force applied and the air resistance.

Option 2 states that the larger the height reached, the longer the throw. But the height reached and the length of the throw are different concepts and do not necessarily correlate. A ball can be thrown straight up to a great height, for example, but it won`t travel a long horizontal distance.

Option 3 suggests that the larger the height reached, the shorter the throw. Similar to option 2, the height of the throw doesn`t always determine the length of the throw, as this can be influenced by other factors.

Option 4 states that the larger the initial inclination, the greater the height reached. This is generally true as a larger inclination pushes the ball to a higher trajectory, resulting in a higher height achieved. So, this is the correct answer.