קישור להדפסת השאלה

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כן, הגוף משנה את כיוון תנועתו.
סימן המהירות נקבע בהתאם לכיוון התנועה ביחס לציר, אם הגוף נע בכיוון הציר המהירות חיובית. ואם הגוף נע נגד כיוון הציר המהירות שלילית.
לפני רגע t=16s מהירות הגוף חיובית, ולאחר רגע t=16s מהירות בגוף שלילית , לכן ברגע t=16s הגוף משנה את כיוון תנועתו.
ברגע שהגוף משנה את כיוון תנועתו , מהירותו שווה לאפס מטר לשנייה, אך לא תמיד כאשר גוף עוצר הוא משנה את כיוון תנועתו.
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יש לחשב את התאוצה בכל קטע תנועה, ולתאר בהתאם את גרף התאוצה בתלות בזמן.
בגרף מהירות בתלות בזמן שיפוע הגרף שווה לתאוצת הגוף.
נחשב את שיפוע הגרף בכל אחד מקטעי התנועה:
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נתאר את התנועה בגרף תאוצה בתלות בזמן, בהתאם לתאוצות שמצאנו ובהתאם לזמנים בהם הגוף נע בכל אחת מהתאוצות:

מרגע t=8s ועד רגע t=20s , סימן המהירות משתנה, אך סימן התאוצה לא משתנה, בגרף תאוצה בתלות בזמן בקטע תנועה זה אין שינוי בתאוצה.
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הגוף לא חוזר לנקודת המוצא.
יש להבין כיצד הגוף נע, מהגרף ניתן לראות שבתחילה הגוף נע בכיוון הציר , ולאחר מכן הוא נע נגד כיוון הציר.
בגרף מהירות בתלות בזמן , משמעות השטח התחום הוא העתק התנועה. השטח התחום מעל ציר הזמן מתאר את ההעתק הגוף בכיוון הציר, והשטח התחום מתחת לציר הזמן, מתאר את ההעתק הגוף בתנועתו נגד כיוון הציר. מכיוון שהשטח שמעל הציר גדול מהשטח שמתחת לציר, ניתן לקבוע: הגוף לא חזר לנקודת המוצא.
בתחילה ערך הפונקציה הוא אפס ובסוף ערך הפונקציה אפס. אך הגרף עוסק במהירות ולא במיקום. בנוסף, אם קיימת התלבטות לגבי גודל השטחים , לא ברור מי יותר גדול , יש לחשב את גודל השטח התחום מעל ומתחת לציר הזמן.
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*סעיפים ד' ו- ה' עוסקים בנושא הוקטורים , ובדינמיקה, לא ניתן לענות על סעיפים אלו בעזרת עקרונות הקינמטיקה בלבד.

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מרגע t=8s ועד רגע t=20s, הגוף נע בתאוצה קבועה , השווה גם לתאוצת הגוף ברגע t=16s. בקטע תנועה זה השיפוע שלילי לכן גם התאוצה שלילית.
נמצא את התאוצה בעזרת חישוב שיפוע הגרף בין הזמנים t=8s ל t=20s.
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לכן תאוצת הגוף הרגע t=16s היא מינוס 1.25 מטר לשנייה בריבוע.
ברגע t=16s מהירות הגוף היא אפס אך יש לגוף תאוצה.
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