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1. A ball strikes a smooth horizontal ground at an angle of 45 degrees with the vertical.What cannot be the angle of its velocity with the vertical after the collission a) 45 degrees b)30degrees c)53 degrees d)60 degrees

1. A ball strikes a smooth horizontal ground at an angle of 45 degrees with the vertical.What cannot be the angle of its velocity with the vertical after the collission 


a) 45 degrees b)30degrees c)53 degrees d)60 degrees

Grade:11

1 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

let vertical component of velocity before and after colision be v1 and v2 and horizontal component be u1 and u2. Smooth ground implies that u1=u2, andv2≤v1, implying that angle with vertical after collision =arctan(u2/v2)≥45 degrees. therefore, the forbidden angle is 30 degrees.

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