Answer:
drag force
Velocity (V) = 40.169 m/s
Explanation:
The drag force is given by the formula:
where:
= drag coefficient depending on the Reynolds number
Reynolds number Re =
Let's Assume that the air is in room temperature at 25 °C ; Then
density of the air = 1.1845 kg/m³
viscosity of fluid or air = 1.844 × 10⁻⁵ kg/ms
diameter of the baseball D = 7.4 cm
Velocity V = 44.3 m/s
Replacing them into the equation of Reynolds number ; we have :
A = Projected Area
From the diagram attached below which is gotten from NASA for baseball;
the drag coefficient which depends on Reynolds number is read as:
= 0.3
Projected Area A =
A =
A = 0.0043 m²
Finally, drag force is then calculated as ;
b)
since acceleration a =
Then;
Also;
velocity (V) =
Then;
Then;
Integrating the above equation ; we have :
when time (t) = 0 ; then
44.3 = - 10 × 0 + C
C = 44.3
Time (t) =
∴ Velocity ;
Velocity (V) = 40.169 m/s