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في حالة الحركة بتسارع ثابت ، فإن متوسط السرعة في مقطع حركة معين يساوي السرعة اللحظية في منتصف زمن مقطع الحركة هذا.
متوسط السرعة في فترة زمنية معينة لجسم يتحرك بتسارع ثابت يساوي تمامًا السرعة اللحظية في منتصف تلك الفترة الزمنية. لذلك ، نحسب متوسط السرعة من اللحظة t = 0.16s حتى اللحظة t = 0.32s .
نجد إزاحة من هذه الحركة باستخدام المعطيات الموجودة في الجدول:
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ليس من الضروري إثبات أن متوسط السرعة يساوي السرعة اللحظية في منتصف الفترة الزمنية ، من المهم معرفة هذه الحقيقة واستخدامها.
إذا لم يتحرك الجسم بتسارع ثابت ، فإن السرعة اللحظية تساوي بالتقريب السرعة في منتصف الفترة الزمنية .
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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يجب حساب السرعة اللحظية في اللحظة المطلوبة ، وفقًا لمتوسط سرعة الحركة بين نقطة معلومة قبل اللحظة المطلوبة ونقطة بعد اللحظة المطلوبة.
إن تسارع الأجسام على سطح كل كوكب سيار ثابت. وعندما يتحرك جسم بتسارع ثابت ، فإن متوسط سرعة الجسم في مقطع حركة معين يساوي السرعة اللحظية في منتصف زمن جزء الحركة هذا.
نحسب السرعات اللحظية:
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نلخص النتائج في جدول:
بما أن الجسم يتحرك بتسارع ثابت، فإن الزيادة في السرعة خلال كل 0.08 ثانية يجب أن تكون ثابتة. الزيادة في السرعة ليست ثابتة هنا لأنها تجربة وفي كل تجربة أخطاء في القياس.
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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يجب تحرير الرسم البياني واختيار القيم المناسبة لوصف الدالة ونشير إلى النقاط على الرسم البياني وتمرير أفضل خط مستقيم (خط الاتجاه - קו מגמה).
1. من المهم رسم الخط المستقيم الأكثر احتمالاً باستخدام المسطرة ، بحيث تظهر الدالة الخطية خطاً مستقيماً.
2. يجب أن يمر الخط المستقيم بين النقاط بحيث يمثلها جميعًا ، والدقة في تحديد الخط الأكثر احتمالًا محدودة للغاية. لكن الفكرة يجب أن تكون واضحة.
3. من المهم التأكد من تسجيل الوحدات في المحاور.
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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m /s2 20. يمثل ميل خط الاتجاه تسارع الجسم في هذه الحالة ، وهذا التسارع يساوي تسارع الجاذبية على الكوكب الذي أجريت فيه التجربة.
يجب رسم الرسم البياني واختيار القيم المناسبة لوصف الدالة وتحديد النقاط على الرسم البياني وتمرير خط الاتجاه.
حسب ميل خط المتجه من نقطتين على هذا الخط: 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1. من المهم الإشارة لوحدات الميل ، في الرياضيات لا توجد وحدات للميل. في الفيزياء هناك وحدات للميل.
2. لإيجاد ميل الخط الأكثر احتمالاً (خط الاتجاه) ، يجب استخدام النقاط الموجودة على الخط فقط.
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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* لا يمكن الإجابة على هذا القسم باستخدام الكينماتيكا وحده. يبحث هذا القسم مع الجاذبية.