The initial velocity of the ball when it was projected is 15.64 m/s.
The given parameters:
- Angle of the projection, θ = 37⁰
- The range of the projectile, R = 24 m
The initial velocity of the ball is calculated by applying formula for range of projectile as follows;
[tex]R = \frac{u^2 sin(2\theta)}{g} \\\\u^2 = \frac{Rg}{sin(2\theta)} \\\\u = \sqrt{\frac{Rg}{sin(2\theta)} } \\\\u =\sqrt{\frac{24 \times 9.8}{sin(2\times 37)} } \\\\u = 15.64 \ m/s[/tex]
Thus, the initial velocity of the ball when it was projected is 15.64 m/s.
Learn more about range of projectile here: https://brainly.com/question/12870645
