Answer:
-50 cm^3/min
Explanation:
The volume of the lollipop is given by

where r is the radius in centimeters.
To find how fast the volume changes, we need to find the rate of change of the volume, which is given by its derivative with respect to time:
(1)
where
dr/dt is the rate of change of the radius
We know that the circumference is

and it decreases by 1 cm per minute, so
(cm/min)
from which we find dr/dt:

Substituting into (1),
(cm^3/min)
And substituting r = 5, we find the rate of change of the volume when the radius is 5 cm:
(cm^3/min)
Explanation:
It is given that,
Speed of the baseball, u = 44 m/s
Speed of the baseball, v = 53 m/s
Mass of the ball, m = 145 g = 0.145 kg
Time of contact between the ball and the bat, t = 2.2 ms = 0.0022 s



F₁ = 2900 N...........(1)



F₂ = 3493.18 N.........(2)
In average vector form force is given by :



Hence, this is the required solution.