#$&* course PHY 123 10/30 4:00 pm 021. `query 21*********************************************
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Given Solution: `a** The horizontal velocity is unchanging so the horizontal component is always equal to the known initial horizontal velocity. The vertical velocity starts at 0, with acceleration thru a known distance at 9.8 m/s^2 downward. The final vertical velocity is easily found using the fourth equation of motion. We therefore know the x (horizontal) and y (vertical) components of the velocity. Using the Pythagorean Theorem and arctan (vy / vx) we find the speed and direction of the motion. ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): OK ------------------------------------------------ self-critique rating #$&*: ********************************************* 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. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: F= force when acting at angle to an object, if there are multiple forces we would break them into components and add those to find the resultant force. Use of F as a vector in work and impulse. v= velocity, can be used in projectile motion where we would work with vx an vy independently. p= momentum, break down this into components in the different directions similar to projectile motion to add the x,y or z's together. Magnitude is the length of a vector geometrically and is the amount of something, say the total velocity or total force, and the direction indicates which way the object is moving or the direction the force is acting. Components are like vectors that act along specific lines, such as the x or y axis, when a vector is broken down like this the components act like individual vectors that add to the components of other vectors and those resultant components act the same as the resultant vector. Components are actually a specific type of projection, that is they are the projections of vectors onto the xyz axes and this is seen clearer when unit vectors, like ijk, are used since the components are then the projections of the vector onto the unit vectors. confidence rating #$&*: ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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Given Solution: `a Examples might include: A force acting on an object causing it to move in an angular direction. A ball falling to the ground with a certain velocity and angle. A two car collision; velocity and momentum are both vector quantities and both important for analyzing the collision.. The magnitude and direction of the resultant is the velocity and direction of travel. The vector components are the horizontal and vertical components that would produce the same effect as the resultant. &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary):OK ------------------------------------------------ self-critique rating #$&*: "