1. A water balloon is tossed in the air from a window. The balloon's height in meters at timer in seconds after being launched is given by s(t)=-4.9t^2+19.6r+58.8. a) Graph the given function. b) Compute the average rate of change of s(t) on the interval [1.5, 4.5]. Include units in your answer and write one sentence to explain the meaning of the value you found in the context of the problem. Make sure to include what the sign of your answer tells you about the function on this interval. c) Find the difference quotient (section 1.6) for the function s(t). Then use it to find the average rate of change of s(t) on [2, 2.01]. Include units in your answer and write one sentence to explain the meaning of the value you found in the context of the problem. Make sure to include what the sign of your answer tells you about the function on this interval. d)Which way do you think is more useful when calculating the AROC?
1. A water balloon is tossed in the air from a window. The balloon's height in meters at timer in seconds after being launched is given by s(t)=-4.9t^2+19.6r+58.8.
a) Graph the given function.
b) Compute the average rate of change of s(t) on the interval [1.5, 4.5]. Include units in your answer and write one sentence to explain the meaning of the value you found in the context of the problem. Make sure to include what the sign of your answer tells you about the function on this interval.
c) Find the difference quotient (section 1.6) for the function s(t). Then use it to find the average rate of change of s(t) on [2, 2.01]. Include units in your answer and write one sentence to explain the meaning of the value you found in the context of the problem. Make sure to include what the sign of your answer tells you about the function on this interval.
d)Which way do you think is more useful when calculating the AROC?
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