Burning involves a chemical change. true or false
2 answers:
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5.3 km
This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.
Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.
By simple calculations, we can derive the unit vectors j, and in the directions North, South of West, and North of West respectively.
So Total displacement vector = The Sum of individual displacement vectors.
Displacement vector = -4.25i + 3.165j
The magnitude of Displacement =| -4.25i + 3.165j | = 5.3km
∴ Total displacement = 5.3km
A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions. It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.
The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.
To learn more about displacement from the given link:
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Since we're dealing with radial acceleration around a circle, I used the radial acceleration equation a=v²/r. At the top of the hill, the force upward exerted by the hill is less than the weight of the sled. if v is large enough the term (g-v²/r) will become 0 and the sled will fly off the ground as it reaches the peak. Let me know if I can clarify any of my work.
Answer:
With an initial speed of 10m/s at an angle 30° below the horizontal, and a height of 8m, the projectile travels 7.49m horizontally before it lands.
Explanation:
Since the horizontal motion is independent from the vertical motion, we can consider them separated. The horizonal motion has a constant speed, because there is no external forces in the horizontal axis. On the other hand, the vertical motion actually is affected by the gravitational force, so the projectile will be accelerated down with a magnitude .
If we have the initial velocity and its angle
, we can obtain the vertical component of the velocity
using trigonometry:
Therefore, if we know the height at which the projectile was launched, we can obtain the final velocity using the formula:
Next, we compute the time the projectile lasts to reach the ground using the definition of acceleration:
Finally, from the equation of horizontal motion with constant speed, we have that:
For example, if the projectile is launched at an angle 30° below the horizontal with an initial speed of 10m/s and a height 8m, we compute:
In words, the projectile travels 7.49m horizontally before it lands.