Question

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Question 40 2 pts 1 Details 10 er ai A cannonball was fired during the Battle of Muizenberg. The function h(t) - 16t? + 800t represents the height of the cannonball after t seconds after it was fired. 1) After how many seconds did the cannonball take to reach its maximum height? eti ng ar 10000 sec 25 sec 27 sec 0.04 sec pe ce 2) In problem 1, you determined the time it took for the cannonball to reach its maximum height. Use this information to find the maximum height of the cannonball. > ami 9983 feet lon 10000 feet 10026 feet 25 feet es Tgd

Answer 1

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Solution! have height of Cannonball مه a function of time hCE) = - 16t² + root (1) TO find the time at which Cannonball reach maxionum height, Ditterentiate het) with respect to t and Set dice) dt 6 dhlt) de - 32 € + 800 1 = t = ४०० Sec 32 to 25 sec Hence After 25 sec Cannonball reaches ,'t maximum height (2) TO t we 2 =) find maximum height put value of in ins get problem 1 hce) h(25) = - 16(25)+800(25) =-161625) + 20000 10000 feet Hera, 10000 feet Maximum height is