1.

The velocity of a projectile when at its 2 greatest height is sqrt(2/5)of its velocity when at half of its greatest height find the angle of projection

Answer»

Solution :Step 1: we know that, velocity of a projectile at HALF of maximum height: `=usqrt((1+cos^(2)theta)/2)`
Step 2: given that `u cos theta =SQRT(2/5) xx u sqrt((1+cos^(2)theta)/2)`
Squaring on both sides `u^(2) cos^(2)theta =2/5u^(2)(1+cos^(2)theta)/2`
`10cos^(2)theta =2 + 2 cos^(2)theta RARR theta=60^(@)`


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