1. During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. If the tre
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Answer:
92.25m
Explanation:
In order to solve the exercise, it is necessary to apply the concept of construtive interference due to a path difference.
The formula is given by,
where,
n is the index of refraction of the medium in which the wave is traveling
wavelenght
is the path difference
m = integer (0,1,2,3...)
Since in this case we are dealing with an atmospheric environment, where air is predominant, we approximate n to 1.
And since we need the reflected wave,
Where x is the distance in one direction without return.
The distance must correspond to the minimum therefore m = 0, so
Then the minimum distance is:
Therefore the minimum distance from the mountain to the receiver that produces destructive interference at the receiver is 92.25m
Answer:
d. A projectile with a horizontal component of motion will have a constant horizontal velocity.
f. The horizontal velocity of a projectile is unaffected by the vertical velocity; these two components of motion are independent of each other.
g. The horizontal displacement of a projectile is dependent upon the time of flight and the initial horizontal velocity.
h. The final horizontal velocity of a projectile is always equal to the initial horizontal velocity.
Explanation:
When we are dealing with parabolic motion, the x-component of the velocity remains the same (hence, in the case of the horizontal component, the acceleration will always be zero), <u>while the y-component always change because it is affected by the acceleration due gravity that acts verticaly.</u>
On the other hand, the horizontal displacement of the projectile is mathematically expressed as:
Where:
is the projectile's horizontal component of the initial velocity
is the time the parabolic motion lasts
This means <u>the projectile's horizontal displacement is directly proportional to the horizontal component of the initial velocity and the total time the projectile describes the parabolic motion</u>.
Of course, all of this considerations are assuming this is an ideal parabolic path and there is no air resistance.