The velocity function of a car, measured in miles per hour, is modeled by
ts v(t) = 3t â 5 on ° 5t 5 5 . Discuss the meaning of Jo v(t) dt Calculate the distance traveled by the car on the interval 5/3 t 5. What is the total distance traveled by the car over the entire interval 0stsS ? Is this the same value as f: v(t) dt? Explain why or why not.
Sample Solution
personnel. It has been evident that a good leadership example like Lord Rama can enhance the overall motivational level and productivity in any military set-up. In the military scenario, one can succeed and many a battles can be won, if there is relevant knowledge for the same. Like Rama, military leaders have to be confident and show no signs of desperation. Military leaders have to be on top and keep a track of what is happening and gain full control of the war scenario. They should look confident and behave as one too, so that they are able to communicate to their subordinates that they are determined to extract positive outcomes for the benefit of their nation and their territory. The impact of an alert, agile and action-oriented leadership cannot be underestimated. A good military leader should ensure that his men give him a patient hearing and conduct themselves on the battleground to win the hardest of battles. This would allow his team to find a proper base ground and explore its full potential. Military Leadership believes in bearing the brunt most of the time and led the way through model behavior. Military leaders in particular are leaders with a vision, and have the ability to see and put into perspective what others cannot. Communicating this vision to their followers and motivating them to work towards fulfilling it, is an extended challenge for a military leader. The chief ingredients of good leadership as portrayed by Rama in Ramayana primarily are character, courage and competence, which undoubtedly form the essence of success for any military organization. Character, in military context, is understood as self-discipline, loyalty, readiness to accept responsibility, and willingness to sacrifice whenever required. These qualities of Lord Rama can help in minimizing fear and maximizing sound judgement in any critical military situation thereby bringing success from a seemingly hopeless situation. For a military leader humility is one of the most difficult trait to exhibit, especially during war time. However, there is no denying the fact that it is also one of the most fruitful traits if used in the correct direction. Moreover, a foreseen vision will always be a motivating factor to focus on the goal and not be deviated. Every military leader needs to have a clear vision of what he is aiming for and what will it bear him in the future.[6] He also must be in sync with his followers or team members in order to attain his goals. A military leader should avoid cutting corners and everything, which makes him uncomfortable. This will ensure long-term organizational sincerity and loyalty. Todayâs world is all about dynamism and keeping pace with new developments, which surely is a tough challenge. In the current information age where knowledge is wealth, an informed modern military leader should constantly strive to learn, and explore new subjects, deepen the understanding of old ones, and continuously upgrade him. Keeping abreast of the latest developments and advancements in modern means of warfare is the need of the hour and is expected of all contemporary military leaders. Contemporary military environment requires leaders who can perceive what is right and know how to mobilize people and resources to accomplish mutual goals.[7] Understanding individual team members and ensuring the requirements to keep each one ticking, is what is required in our present day defence organization too. Leaders of the armed forces should back their teams under all circumstances. They should know how to deal with their subordinates in order to make many of the followers, leaders in their own right thereby creating options and opportunities for their subordinates to inculcate self-confidence and optimism. In todayâs military world the one man show does not promise success like the earlier days. Intelligently distributed responsibility and empowerment creates changes for good and more chances to win. So naturally it becomes quintessential for every department, every unit in the armed forces to create more and effective leaders than ever before. It surely would ensure more uniqueness; more tasks completed, more projects concluded, more missions accomplished, more promises achieved and most of all more trust build than ever be>
personnel. It has been evident that a good leadership example like Lord Rama can enhance the overall motivational level and productivity in any military set-up. In the military scenario, one can succeed and many a battles can be won, if there is relevant knowledge for the same. Like Rama, military leaders have to be confident and show no signs of desperation. Military leaders have to be on top and keep a track of what is happening and gain full control of the war scenario. They should look confident and behave as one too, so that they are able to communicate to their subordinates that they are determined to extract positive outcomes for the benefit of their nation and their territory. The impact of an alert, agile and action-oriented leadership cannot be underestimated. A good military leader should ensure that his men give him a patient hearing and conduct themselves on the battleground to win the hardest of battles. This would allow his team to find a proper base ground and explore its full potential. Military Leadership believes in bearing the brunt most of the time and led the way through model behavior. Military leaders in particular are leaders with a vision, and have the ability to see and put into perspective what others cannot. Communicating this vision to their followers and motivating them to work towards fulfilling it, is an extended challenge for a military leader. The chief ingredients of good leadership as portrayed by Rama in Ramayana primarily are character, courage and competence, which undoubtedly form the essence of success for any military organization. Character, in military context, is understood as self-discipline, loyalty, readiness to accept responsibility, and willingness to sacrifice whenever required. These qualities of Lord Rama can help in minimizing fear and maximizing sound judgement in any critical military situation thereby bringing success from a seemingly hopeless situation. For a military leader humility is one of the most difficult trait to exhibit, especially during war time. However, there is no denying the fact that it is also one of the most fruitful traits if used in the correct direction. Moreover, a foreseen vision will always be a motivating factor to focus on the goal and not be deviated. Every military leader needs to have a clear vision of what he is aiming for and what will it bear him in the future.[6] He also must be in sync with his followers or team members in order to attain his goals. A military leader should avoid cutting corners and everything, which makes him uncomfortable. This will ensure long-term organizational sincerity and loyalty. Todayâs world is all about dynamism and keeping pace with new developments, which surely is a tough challenge. In the current information age where knowledge is wealth, an informed modern military leader should constantly strive to learn, and explore new subjects, deepen the understanding of old ones, and continuously upgrade him. Keeping abreast of the latest developments and advancements in modern means of warfare is the need of the hour and is expected of all contemporary military leaders. Contemporary military environment requires leaders who can perceive what is right and know how to mobilize people and resources to accomplish mutual goals.[7] Understanding individual team members and ensuring the requirements to keep each one ticking, is what is required in our present day defence organization too. Leaders of the armed forces should back their teams under all circumstances. They should know how to deal with their subordinates in order to make many of the followers, leaders in their own right thereby creating options and opportunities for their subordinates to inculcate self-confidence and optimism. In todayâs military world the one man show does not promise success like the earlier days. Intelligently distributed responsibility and empowerment creates changes for good and more chances to win. So naturally it becomes quintessential for every department, every unit in the armed forces to create more and effective leaders than ever before. It surely would ensure more uniqueness; more tasks completed, more projects concluded, more missions accomplished, more promises achieved and most of all more trust build than ever be>
