Explanation:
Let us first calculate  long does it take to go 12m at 30m/s( assumed speed)
12/30 = 0.4 seconds
horizontal distance the ball drop in that time 
H= (0)(0.4)+1/2(-9.8)(0.4)2
H= -0.78m
negative sign shows that the height of the ball at the net from the top.
Height of the ball at the net and from the ground= H1-H=2.4-0.78=1.62m
As 1.62m>0.9m so the ball will clear the net.
H_1= V0y t’ + ½ g t’^2
-2.4= (0)t’ + ½ (-9.8) t’^2
t’= 0.69s
X’=V0x t’
X’=(30)(0.96)
X’= 20.7m
 
        
             
        
        
        
Answer:
9m^3
Explanation:
Given data
volume  v1=  3m^3
volume  v2=  ???
Temperature T1= 20.0°C.
Temperature T2= 60.0°C.
Applying the relation for temperature and volume
V1/T1= V2/T2
substitute
3/20= V2/60
3*60= V2*20
180= 20*V2
180/20= V2
V2= 9m^3
Hence the final volume is 9m^3
 
        
             
        
        
        
Answer:
The tension in the rope is 262.88 N
Explanation:
Given:
Weight  N
 N
Length of rope  m
 m
Initial speed of ball 
For finding the tension in the rope,
First find the mass of rod,
  (
                          (  )
 )
   
    kg
 kg
Tension in the rope is,
   
   
    N
 N
Therefore, the tension in the rope is 262.88 N
 
        
             
        
        
        
Answer: 18.27°
Explanation:
Given 
Index of refraction of blue light, n(b) = 1.64
Wavelength of blue light, λ(b) = 440 nm
Index of refraction of red light, n(r) = 1.595
Wavelength of red light, λ(r) = 670 nm
Angle of incident, θ = 30°
Angle of refraction of red light is
θ(r) = sin^-1 [(n(a)* sin θ) / n(r)], where n(a) = index of refraction of air = 1
So that, 
θ(r) = sin^-1 [(1 * sin 30) / 1.595]
θ(r) = sin^-1 (0.5 / 1.595)
θ(r) = sin^-1 0.3135
θ(r) = 18.27°
 
        
             
        
        
        
Batesian mimicry is an adaptive feature associated with the coloration of a given species in a given environment. 
<h3>What is Batesian mimicry?</h3>
Batesian mimicry can be defined as a type of adaptive feature associated with the coloration of a particular species and/or population.
On the first island, the color of the population won't change because of the absence of predators. 
On the second island, the color of the population will change because of the presence of predators that can be alerted by the color. 
On the third island, the color of the population won't change because of the presence of a species with a similar color. 
In conclusion, Batesian mimicry is an adaptive feature associated with the coloration of a given species in a given environment. 
Learn more about Batesian mimicry here:
brainly.com/question/14139071
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