Answer:
the wavelength is 9.8 meters
Explanation:
We can use the relationship:
Velocity = wavelenght*frequency.
Initially we have:
wavelenght = 4.9m
velocity = 9.8m/s
then:
9.8m/s = 4.9m*f
f = 9.8m/s/4.9m = 2*1/s
now, if the velocity is doubled and the frequency remains the same, we have:
2*9.8m/s = wavelenght*2*1/s
wavelenght = (2*9.8m/s)*(1/2)s = 9.8 m
The final velocity is 
The distance traveled by the ball at time t is 
The maximum distance traveled by the object is 
The given parameters;
initial velocity of the ball, u = 20 m/s
acceleration due to gravity, g = 9.8 m/s²
The final velocity can be calculate as;

The distance traveled by the ball at time t;

The maximum distance traveled by the object is calculated as;

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Answer:
Angular speed ω=3771.4 rad/min
Revolution=5921 rpm
Explanation:
Given data

To find
Angular speed ω
Revolution per minute N
Solution
First we need to convert the speed of truck to inches per mile
as
1 mile=63360 inches
1 hour=60 minutes
so

Now to solve for angular speed ω by substituting the speed v and radius r in below equation

To solve for N(revolutions per minute) by substituting the angular speed ω in the following equation
we know that center of mass is given as
r = (m₁
+ m₂
)/(m₁ + m₂)
taking derivative both side relative to "t"
dr/dt = (m₁ d
/dt + m₂ d
/dt)/(m₁ + m₂)
v = (m₁
+ m₂
)/(m₁ + m₂)
taking derivative again relative to "t" both side
dv/dt = (m₁ d
/dt + m₂ d
/dt)/(m₁ + m₂)
a= (m₁
+ m₂
)/(m₁ + m₂)
Divide 24 by 12.
24/t = 12
24/12 = t
24/12 = 2
t = 2