Answer:
V(max)= 24π
Explanation:
Given that
The equation of the SHM given as
x= 4 cos(6πt)
x =Displacement ( in cm)
t=Time ( in sec)
We know that velocity V given as
[tex]V=\dfrac{dx}{dt}[/tex]
[tex]\dfrac{dx}{dt} = -4\times 6\pi sin(6\pi t)[/tex]
V = -24π sin(6πt)
When sin(6πt) will become -1 then the velocity of the ball will become maximum.
Therefore the maximum velocity of the ball will be
V(max)= 24π