Turito Academy

Test Prep

Global form fields

The forces acting on the ball will be (i) in the direction opposite to its motion <img src="data:image/png;base64,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" class="Wirisformula" alt="i e comma" width="20" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mi»e«/mi»«mo»,«/mo»«/math»'/> frictional force and(ii) weight <img src="data:image/png;base64,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" class="Wirisformula" alt="m g" width="26" height="12" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»m«/mi»«mi»g«/mi»«/math»'/>.

A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position <em>X</em> are respected by<br /><img src="data:image/png;base64,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" alt="" />

Solution for the question - a boy throws a cricket ball from the boundary to the wicket-keeper. if thefrictional force due to air cannot be ignored, the forces