Second Query 21

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course Phy 201

021. `query 21

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Question: `q Explain how to obtain the final speed and direction of motion of a projectile which starts with known velocity in the horizontal direction and falls a known vertical distance, using the analysis of vertical and horizontal motion and vectors.

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Your solution:

If the projectile is going in a horizontal direction then the velocity will stay the same as the initial velocity. As for the vertical velocity, the final velocity can be found with the fourth equation by knowing that the acceleration is the gravitational pull. We can then find the direction by the equation: artan (y component/x component)

confidence rating #$&*:

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Given Solution:

`a** The horizontal velocity is unchanging so the horizontal component is always equal to the known initial horizontal velocity.

The vertical velocity starts at 0, with acceleration thru a known distance at 9.8 m/s^2 downward. The final vertical velocity is easily found using the fourth equation of motion.

We therefore know the x (horizontal) and y (vertical) components of the velocity. Using the Pythagorean Theorem and arctan (vy / vx) we find the speed and direction of the motion. **

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Self-critique (if necessary):

OK

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self-critique rating #$&*: K

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Question: `qGive at least three examples of vector quantities for which we might wish to find the components from magnitude and direction. Explain the meaning of the magnitude and the direction of each, and explain the meaning of the vector components.

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Your solution:

One example would be if two objects crash into each other at a certain velocity and bounce off in a certain direction. A second example would be if something fell off a table and is moving at a certain velocity and also falls at a particular angle. Finally, another example would be if an object was being pushed or pulled at a certain angle.

The magnitude is the velocity of each, the direction is the direction the object is going in and the vector components are the x and y components…either horizontal or vertical.

confidence rating #$&*:

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Given Solution:

`a

Examples might include:

A force acting on an object causing it to move in an angular direction.

A ball falling to the ground with a certain velocity and angle.

A two car collision; velocity and momentum are both vector quantities and both important for analyzing the collision..

The magnitude and directiohn of the relsultant is the velocity and direction of travel.

The vector components are the horizontal and vertical components that would produce the same effect as the resultant.

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Self-critique (if necessary):OK

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self-critique rating #$&*:

OK

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&#Your work looks very good. Let me know if you have any questions. &#

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