Under ideal conditions (no atmospheric interference of any kind), if i hit a golf ball at an angle of 25 degrees at an initial speed of 23 m/s, it will travel the same distance as a golf ball struck so it has an initial speed of 23 m/s at an angle of degrees.

The required angle is (90-25)° = 65°

Explanation:

The given motion is an example of projectile motion.

Let 'v' be the initial velocity and '∅' be the angle of projection.

Let 't' be the time taken for complete motion.

Let 'g' be the acceleration due to gravity

Taking components of velocity in horizontal(x) and vertical(y) direction.

=  v cos(∅)

=  v sin(∅)

We know that for a projectile motion,

t =

Since there is no force acting on the golf ball in horizonal direction.

Total distance(d) covered in horizontal direction is -

d = ×t = vcos(∅)× = .

If the golf ball has to travel the same distance 'd' for same initital velocity v = 23m/s , then the above equation should have 2 solutions of initial angle 'α' and 'β' such that -

α +β = 90° as-

d = = = = .

∴ For the initial angles 'α' or 'β' , total horizontal distance 'd' travelled remains the same.

∴ If α = 25° , then

     β = 90-25 = 65°

∴ The required angle is 65°.

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