The phase speed vp for deep ocean waves is given by vp = g/ω where ω = 2π/t and t is the period of the wave; g is the acceleration due to gravity. what is the group speed vg?

The group speed is .

Explanation:

Given that,

Phase speed

Where, T = period of the wave

g =acceleration due to gravity

We need to calculate the group speed

Using formula of phase speed

Put the value of

....(I)

We need to calculate the group speed

Using formula of group speed

On differentiating

Put the value of k from equation (I)

Hence, The group speed is .

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.