The deceleration of a badminton shuttlecock and a baseball depends on various factors, including their mass, shape, and the forces acting on them.
In general, a badminton shuttlecock is designed to have a much higher drag coefficient and a lighter mass compared to a baseball. The shape of a shuttlecock, with its feathered skirt, creates significant air resistance, which causes it to decelerate rapidly as it travels through the air. This high drag coefficient is intentional in badminton to slow down the shuttlecock and make the game more challenging and engaging.
A baseball, on the other hand, has a smoother and more aerodynamic shape, and it is heavier than a shuttlecock. While a baseball does experience air resistance, it will generally decelerate more slowly than a shuttlecock due to its higher mass and more streamlined design.
So, in most cases, a badminton shuttlecock will decelerate faster than a baseball when they are both in flight. However, it's essential to consider that the specific conditions, such as the speed at which they are launched and the air density, can also influence their deceleration rates.