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1. The ceiling of a long hall is 25 m high. What isthe maximum horizontal distance that a ballthrown with a speed of 40 ms-l can go withouthitting the ceiling of the hall ? |
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Answer» Given, Hight of Hall( H) = 25 m Let ball is thrown with speed 40m/s at an angle ∅ with horizontal . We know, H = u²sin²∅/2g 25= (40)² × sin²∅/2× 10 25 = 80 × sin²∅Sin²∅ = 25/80 Sin∅ = 5/4√5 Cos∅ = √55/4√5 Now, horizontal range = u²sin2∅/g= (40)²× 2sin∅×cos∅/g= 160 × 2 × 5/4√5 × √55/4√5 = 20√55 m |
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