#$&* course Phy 231 6/7 6 021. `query 21
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Given Solution: `a** The horizontal velocity is unchanging so the horizontal component is always equal to the known initial horizontal velocity. The vertical velocity starts at 0, with acceleration thru a known distance at 9.8 m/s^2 downward. The final vertical velocity is easily found using the fourth equation of motion. We therefore know the x (horizontal) and y (vertical) components of the velocity. Using the Pythagorean Theorem and arctan (vy / vx) we find the speed and direction of the motion. ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): ------------------------------------------------ Self-critique Rating: ********************************************* Question: `qGive at least three examples of vector quantities for which we might wish to find the components from magnitude and direction. Explain the meaning of the magnitude and the direction of each, and explain the meaning of the vector components. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: Using a map and compass, one could use vectors to find the shortest path to a location. Using the components of magnitude, we can find the shortest possible path, and also the direction to move in. Before and after any type of collision, we can find how much energy is produced or get estimate of pre collision speeds from displacement vectors from point of impact. This of course is using estimates, of weight of the colliding objects. Space flight, using vectors and trajectories to find the proper initial speed (magnitude) and direction to direct an projectile to land on another moving object such as them moon or mars. Vector quantities of where an object is going to be located at a certain time, would be used to find the best time and direction to aim a rocket or ship to land on it. confidence rating #$&*: ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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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: " Self-critique (if necessary): ------------------------------------------------ Self-critique rating: " Self-critique (if necessary): ------------------------------------------------ Self-critique rating: #*&!