Continuous. Discrete values are values like 1, 2, 3, 4, etc. - they're values that are <em>distinct</em>, and typically there's some idea of a <em>next </em>and a <em>previous </em>value. When we're counting whole numbers, there's a definitive answer to which number comes after, and which number comes before. With continuous values, there's no real "next" or "last" value.
Motion is measured with <em>continuous </em>values; a train might move 300 yards in 1 minute, but we can look at smaller and smaller chunks of time to keep getting shorter and shorter distances. There is no <em />"next" distance the train moves after those 300 yards - it just doesn't make sense for there to be.
It's also measured <em>quantitatively</em>, not <em>qualitatively</em>. This just means that we can use numerical values to measure it, rather than other descriptors like color, smell, or taste.
Answer:
The angular velocity is 
Explanation:
From the question we are told that
The mass of wooden gate is 
The length of side is L = 2 m
The mass of the raven is 
The initial speed of the raven is 
The final speed of the raven is 
From the law of conservation of angular momentum we express this question mathematically as
Total initial angular momentum of both the Raven and the Gate = The Final angular momentum of both the Raven and the Gate
The initial angular momentum of the Raven is 
Note: the length is half because the Raven hit the gate at the mid point
The initial angular momentum of the Gate is zero
Note: This above is the generally formula for angular momentum of square objects
The final angular velocity of the Raven is 
The final angular velocity of the Gate is 
Substituting this formula


![\frac{1}{3} m_g L^2 w = m_r * \frac{L}{2} * [u_r - v_r]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20m_g%20L%5E2%20w%20%20%20%3D%20%20%20%20m_r%20%2A%20%20%5Cfrac%7BL%7D%7B2%7D%20%2A%20%5Bu_r%20-%20v_r%5D)
Where
is the angular velocity
Substituting value
![\frac{1}{3} (4.5)(2)^2 w = 1.2 * \frac{2}{2} * [5 - 1.5]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%284.5%29%282%29%5E2%20%20w%20%20%20%3D%20%20%20%201.2%20%2A%20%20%5Cfrac%7B2%7D%7B2%7D%20%2A%20%5B5%20-%201.5%5D)



It takes twice the force to produce the same acceleration in the 2kg rock.
Answer:
Explanation:
As the contour lines have roughly the same spacing but the actual topography is much steeper, the lines on the mountainous map represent a larger vertical spacing than the lines on the gradual hills.
This doesn’t make any sense