Answer:
a= 2.667 m/s²
Explanation:
Given that
Initial velocity ,u= 2 m/s
Final velocity ,v= 10 m/s
Time taken ,t= 3 s
As we know that
v = u + at
a=Acceleration ,u=Initial velocity ,v= Final velocity ,t=time
Now by putting the values in the above equation
v = u + at
10 = 2 + a x 3
8 = 3 a
a= 2.667 m/s²
Therefore the acceleration of the biker will be 2.667 m/s²
<u>Answer</u>
The correct answer is A.
<u>Explanation</u>
The given triangle is a right triangle.
The length of the hypotenuse is 
units.
The given angle is 
.
The unknown side 
is adjacent to the given angle.
We can therefore use the cosine function to find .
Recall the mnemonics CAH.
This means that;
This implies that,
We multiply both sides by to get,
We evaluate to get
Therefore the length of the side of the triangle is 
units to the nearest tenth.
Solution :
Velocity of cart at t = 0 s is, u = 1.8 m/s .
Distance covered in 3 seconds is :
d = 1.8 m/s × 3 s
d = 5.4 m.
So, position of cart after t = 3 seconds is x = 2.8 + 5.4 m = 8.2 m .
Hence, this is the required solution.
Each pole would become tropical during summer, but be horribly cold during winter, far colder than they are now. But the equator would be in perpetual twilight during two seasons—and summer the opposing two.
Answer:
10.0 m
Explanation:
Since there is no amplitude at the point of the swimmer, we have destructive interference.
So, the path difference ΔL = L₂ - L₁ where L₁ = swimmer's shorter distance from one generator = 9.0 m and L₂ = swimmer's longer distance from the other generator = 14.0 m. ΔL = 14.0 m - 9.0 m = 5.0 m
Also, since we have destructive interference, ΔL = (n + 1/2)λ where n = number of wavelengths and λ = wavelength of waves
For maximum wavelength, n = 0
So, ΔL = (n + 1/2)λ
ΔL = (0 + 1/2)λ
ΔL = λ/2
λ/2 = ΔL
λ = 2ΔL
λ = 2 × 5.0 m
λ = 10.0 m
So, the longest wavelength that will produce this interference pattern is λ = 10.0 m
