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prof lewin has asked a ques in his lecture that what will be the time required for projectile to cover the motion along x-axis when angle of projection is 90 degrees...according to me it should be infinite is it correct?

OCW Scholar - Physics I: Classical Mechanics
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That is correct; if the projectile shoots straight up it has no horizontal motion and will never travel sideways. (Bear in mind that infinity is a concept, not a number.)

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