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

question 64

Multiple Choice

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

• A) \(128 \mathrm { ft } / \mathrm { sec } ; 65 \mathrm { ft } / \mathrm { sec }\)
• B) \(32 \mathrm { ft } / \mathrm { sec } ; 64 \mathrm { ft } / \mathrm { sec }\)
• C) \(64 \mathrm { ft } / \mathrm { sec } ; 128 \mathrm { ft } / \mathrm { sec }\)
• D) \(65 \mathrm { ft } / \mathrm { sec } ; 130 \mathrm { ft } / \mathrm { sec }\)

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