קישור להדפסת השאלה
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בתנועה בתאוצה קבועה , המהירות הממוצעת בקטע תנועה מסוים שווה למהירות הרגעית באותו קטע תנועה.
המהירות הממוצעת בפרק זמן מסוים של גוף הנע בתאוצה קבועה, שווה בדיוק למהירות הרגעית באמצע אותו פרק זמן. לכן נחשב את המהירות הממוצעת מרגע t=0.16s ועד רגע t=0.32s .
נמצא את ההעתק של תנועה זו בעזרת הנתונים בטבלה:
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אין צורך להוכיח שהמהירות הממוצעת שווה למהירות הרגעית באמצע הזמן , חשוב לדעת ולהשתמש בעובדה זו.
אם גוף לא נע בתאוצה קבועה , המהירות הרגעית שווה למהירות באמצע הזמן , בקירוב בלבד.
אם גוף לא נע בתאוצה קבועה , המהירות הרגעית שווה למהירות באמצע הזמן , בקירוב בלבד.
המהירות הרגעית באמצע הזמן שווה בדיוק למהירות הממוצעת רק כאשר הגוף נע בתנועה בתאוצה קבועה. אם הגוף לא נע בתאוצה קבועה וקטע התנועה קטן , גם אפשר למצוא את המהירות הרגעית באמצע הזמן בדרך זו, אך התשובה תהיה נכונה בקירוב.
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יש לחשב את המהירות הרגעית ברגע מבוקש , לפי המהירות הממוצעת בתנועה שבין רגע לפני הרגע המבוקש לרגע אחרי הרגע המבוקש.
תאוצת הגופים על פני כל כוכב לכת היא קבועה. וכאשר גוף נע בתאוצה קבועה , מהירותו הממוצעת של הגוף בקטע תנועה מסוים שווה למהירות הרגעית באמצע הזמן של אותו קטע תנועה.
נחשב את המהירויות הרגעיות :
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נרכז את התוצאות בטבלה:
מכיוון שהגוף נע בתאוצה קבועה , תוספת המהירות בכל 0.08 שניות צריכה להיות קבועה. התוספת במהירות לא קבועה , מכיוון שמדובר בניסוי , ובכל ניסוי קיימות שגיאות מדידה.
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יש לערוך את הגרף , לבחור ערכים המתאימים לתיאור הפונקציה, לסמן בגרף את הנקודות ולהעביר בקירוב את הישר המסתבר ביותר.
1. חשוב לשרטט את הישר המסתבר ביותר בעזרת סרגל, כדי שהפונקציה הליניארית תראה קו ישר.
2. הישר הסתבר אמור לעבור בין הנקודות כך שהוא ייצג את כולן, הדיוק בקביעת הישר המסתבר ביותר הוא מאוד מוגבל. אך הרעיון חייב להיות ברור.
3.חשוב להקפיד על רישום יחידות בצירים.
2. הישר הסתבר אמור לעבור בין הנקודות כך שהוא ייצג את כולן, הדיוק בקביעת הישר המסתבר ביותר הוא מאוד מוגבל. אך הרעיון חייב להיות ברור.
3.חשוב להקפיד על רישום יחידות בצירים.
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20 מטר לשנייה בריבוע. השיפוע מייצג את תאוצת הגוף במקרה זה ,תאוצה זו שווה לתאוצת הכובד על הכוכב בו נערך הניסוי.
יש לחשב את שיפוע הישר המסתבר ביותר, בעזרת שתי נקודות הנמצאות על הישר המסתבר ביותר.
נחשב את שיפוע הישר משתי נקודות על הישר:
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1. חשוב לציין את יחידות השיפוע, במתמטיקה אין יחידות לשיפוע. בפיזיקה יש יחידות לשיפוע.
2. כדי למצוא את שיפוע הישר המסתבר ביותר , יש להשתמש רק בנקודות הנמצאות על הישר.
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* לא ניתן לענות על סעיף זה בעזרת קנמטיקה בלבד. הסעיף עוסק בנושא הכבידה.