Answer:
a) 
b) 
degrees and on this case to the South of the East.
c)
d) 
So it would be 250 to the South
Explanation:
Part a
For this case the figure attached shows the illustration for the problem.
We know that 
represent the velocity of the river to the south.
We have the velocity of the motorboard relative to the water and on this case is 
And we want to find the velocity of the motord board relative to the Earth 
And we can find this velocity from the Pythagorean Theorem.
Part b
We can find the direction with the following formula:
degrees and on this case to the South of the East.
Part c
For this case we can use the following definition
The distance would be D = w = 600 m and the velocity V = 4.8m/s and if we solve for t we got:
Part d
For this case we can use the same definition but now using the y compnent we have:
And replacing we got:
So it would be 250 to the South
Hi there! Lets see!
- m is mass, and its units are kg
- k is the elastic constant measured in newtons per meter (N/m), or kilograms per second squared kg/s²
Therefore:
![\sqrt{\dfrac{m}{k}} =\sqrt{\dfrac{[kg]}{[\dfrac{kg}{s^2}]}} =\sqrt{\dfrac{[kg]}{[kg]}\cdot s^2} = \sqrt{[s]^2} = s](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7Bm%7D%7Bk%7D%7D%20%3D%5Csqrt%7B%5Cdfrac%7B%5Bkg%5D%7D%7B%5B%5Cdfrac%7Bkg%7D%7Bs%5E2%7D%5D%7D%7D%20%20%3D%5Csqrt%7B%5Cdfrac%7B%5Bkg%5D%7D%7B%5Bkg%5D%7D%5Ccdot%20s%5E2%7D%20%3D%20%5Csqrt%7B%5Bs%5D%5E2%7D%20%3D%20s)
The period is given in seconds so the formula is dimensionally correct.
Answer:
- Distance is a scalar quantity, defined as the total amount of space covered by an object while moving between the final position and the initial position. Therefore, it depends on the path the object has taken: the distance will be minimum if the object has travelled in a straight line, while it will be larger if the object has taken a non-straight path.
- Displacement is a vector quantity, whose magnitude is equal to the distance (measured in a straight line) between the final position and the initial position of the object. Therefore, the displacement does NOT depend on the path taken, but only on the initial and final point of the motion.
If the object has travelled in a straight path, then the displacement is equal to the distance. In all other cases, the distance is always larger than the displacement.
A particular case is when an object travel in a circular motion. Assuming the object completes one full circle, we have:
- The distance is the circumference of the circle
- The displacement is zero, because the final point corresponds to the initial point
Answer:
Time elapsed
Explanation:
Acceleration is a vector quantity. It is defined as:
where
v is the final velocity
u is the initial velocity
t is the time elapsed
Acceleration is measured in meters per second squared (m/s^2). It must be noticed that acceleration is a vector, so it also has a direction. In particular:
- when acceleration is negative, it means that the object is slowing down, so acceleration is in opposite direction to the velocity
- when acceleration is positive, it means that the object is speeding up, so acceleration is in the same direction as the velocity
This question is so vague as to render it useless.
I suspect the answer they're looking for is Kepler advanced Copernicus's work as is stated. but the way science works is that anyone who has contributed will have their work built on. for example, Newton advanced Kepler's work on the elliptical path of planets as Einstein advanced Newton's work.
