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Find the Slope of the Curve at the Indicated Point y=16t2fty = 16 \mathrm { t } ^ { 2 } \mathrm { ft }

Question 64

Multiple Choice

Find the slope of the curve at the indicated point.
-Assume that a watermelon dropped from a tall building falls y=16t2fty = 16 \mathrm { t } ^ { 2 } \mathrm { ft } in t\mathrm { t } sec. Find the watermelon's average speed during the first 4sec4 \sec of fall and the speed at the instant t=4sect = 4 \mathrm { sec } .


A) 128ft/sec;65ft/sec128 \mathrm { ft } / \mathrm { sec } ; 65 \mathrm { ft } / \mathrm { sec }
B) 32ft/sec;64ft/sec32 \mathrm { ft } / \mathrm { sec } ; 64 \mathrm { ft } / \mathrm { sec }
C) 64ft/sec;128ft/sec64 \mathrm { ft } / \mathrm { sec } ; 128 \mathrm { ft } / \mathrm { sec }
D) 65ft/sec;130ft/sec65 \mathrm { ft } / \mathrm { sec } ; 130 \mathrm { ft } / \mathrm { sec }

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