Question

If r and h are the horizontal range and maximum height attained by a projectile ,than its speed of projection is

Answer 1

Answer:

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Answer 2

Answer:

Explanation:

Range(R)=u2sin(2a)/g

and 

Height(H)=u2sin2(a)/2g

where, u is the initial velocity or velocity of projection, a is the angle of projection and g is the acceleration due to gravity.

Using the identify, sin(2a)=2sin(a)cos(a) in the range formula and dividing by the height formula, we get the relation― tan(a)=4H/R …(1)

We also know an identify that― sin(2a)=2tan(a)/1+tan2(a)

Substitution for tan(a) from (1), willl give,

sin(2a)=8RH/R2+16H2

Putting this result back in the formula for range will give―

R=(u2)∗8RH/(R2+16H2)∗g

Answer  = u = √(R2+16H2)∗g/8H 

Hope it helps you...