Opgave_103.pdf

Opgave_103.pdf - Opgave 103 Vi har konstant acceleration...

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Opgave 103 Vi har konstant acceleration lig med tyngdeaccelerationen. Vi skal finde den maksimale højde samt hastighed og højde til forskellige tidspunkter. a) Vi kender start- og sluthastighed samt acceleration og skal finde højden. Vi skal ikke finde tiden. I toppunktet er hastigheden nul. Kendt: 𝑥𝑥 1 = 0, 𝑣𝑣 1 , 𝑣𝑣 2 = 0, 𝑎𝑎 = −𝑔𝑔 Ukendt: 𝑥𝑥 2 , 𝑡𝑡 𝑣𝑣 2 2 − 𝑣𝑣 1 2 = 2 𝑎𝑎 ( 𝑥𝑥 2 − 𝑥𝑥 1 ). Indsættelse af de kendte størrelser leder til 𝑥𝑥 2 = 𝑣𝑣 2 2 − 𝑣𝑣 1 2 2 𝑎𝑎 + 𝑥𝑥 1 = 0 − 𝑣𝑣 1 2 2 𝑔𝑔 + 0 = 122 m b)+c)+d) Vi har samme problemstilling, at finde højde og hastighed til bestemte
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