# calculus

A person is jumping straight up and down on a trampoline. The height of the center of mass of the person is measured every tenth of a second. It takes just over one second to complete one full bounce.

(If you want to see the data, look at the video above.)
t (seconds) 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00
x(t) (feet) 7.20 6.80 6.10 5.05 4.00 3.80 4.60 5.80 6.90 7.60 8.00 7.90

Find the average velocity (in feet/sec) of the jumper from 3.00 seconds to the time when he is at the lowest point.

(Enter answer to 2 decimal places.)

- sin responder

Find the linear approximation to the velocity (in feet/sec) of the jumper at t=3.75.

(Enter answer to 2 decimal places.)

- sin responder

Using the information from your previous answer, what would be the best estimate for the acceleration (in feet/sec2) at t=3.7?

(Enter answer to 2 decimal places.)

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