A woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in meters above the river t seconds after the jump is y(t) = 13 (1 + e cost), for t≥ 0. a. Determine her velocity at t= 1 and t=4. b. Use a graphing utility to determine when she is moving downward and when she is moving upward during the first 10 s. c. Use a graphing utility to estimate the maximum upward velocity.

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A woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in meters above the river t seconds after the jump is y(t) = 13(1 + et cost), for t≥0.
a. Determine her velocity at t = 1 and t = 4.
b. Use a graphing utility to determine when she is moving downward and when she is moving upward during the first 10 s.
c. Use a graphing utility to estimate the maximum upward velocity.
Transcribed Image Text:A woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in meters above the river t seconds after the jump is y(t) = 13(1 + et cost), for t≥0. a. Determine her velocity at t = 1 and t = 4. b. Use a graphing utility to determine when she is moving downward and when she is moving upward during the first 10 s. c. Use a graphing utility to estimate the maximum upward velocity.
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