Answer:12.206 cm,
Explanation:
Given
Insect walks 15 cm to the right
so its position vector is
Now it moves 10 cm up so its new position vector

Now it moves 8 cm left so its final position vector is

so its displacement is given by

For direction, let \theta is the angle made by its position vector with x axis


Answer:
1.67m
5m/s
Explanation:
Given parameters:
Wavelength of the wave = 3m
Speed of the wave = 5m/s
Unknown:
Frequency of the wave = ?
Speed of the water waves = ?
Solution:
The distance between crest and the adjacent trough of water waves is known as the wavelength of a wave.
To find the frequency ;
V = f∧
V is the speed of the wave
f is the frequency
∧ is the wavelength
Insert the parameters and find the frequency;
f = V/ ∧ = 5 / 3 = 1.67Hz
The rate at which the wave passed a given point is the speed of the wave and it is 5m/s
Answer:
the maximum force will be equal to 134.84 N
Explanation:
We have given mass m = 43 kg
Coefficient of static friction 
Acceleration due to gravity 
We have to find the maximum force which , when applied there is no movement of crates
This maximum force will be equal to frictional force
Frictional force is given by 
So the maximum force will be equal to 134.84 N
The magnitude of the net force could be anything from 89N to 341N , and it could be acting in ANY direction.
To solve both mysteries we need to know the directions of the original two forces.
Answer:
The Light was reflected, b.
Explanation:
If the flashlight was pointed at the mirror, it was reflected because it did not stop on the mirror or go through the mirror or reflect in different ways.