6. Which of the following could be a possible solution to the equation: ()-0e wh
ID: 3019727 • Letter: 6
Question
6. Which of the following could be a possible solution to the equation: ()-0e where k represents the continuous growth rate? (Circle any that apply.) 14. a. A. (0, 50) B. (0, 100) C. (5,-100) b. Explain the reason for rejecting the other pair(s). 7. A ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 32 feet per second. The distance s (in feet) of the ball from the; ground after t seconds is s = 128 + 32t-16t2 a. At what time t is the ball at its maximum height? b. What is the maximum height of the ball? c. At what time does the ball strike the ground? d. For what time t is the ball more than 80 feet above the ground?Explanation / Answer
6) a) The possible solution is (0,50)
b) The other two sets are rejected as at t = 0, f(t) is not equal to 100
also at t = 5, f(t) is positive.
7)
s = 128 + 32t – 16t^2
a) For maximum height =====> ds/dt = 32 – 32t = 0 =====> t = 1 sec
b) Maximum height = s(1) = 128 + 32*1 – 16*1 = 144 feet
c) For the ball to touch the ground ====> s = 0 = 128 + 32t – 16t^2
t = 4 sec (negative value rejected)
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