Your friend is at the top of a building which you know to be exactly 100 feet high. She throws a stone downward at a speed U ft/sec, and you time how long it takes to hit the ground. • The distance (in feet) fallen by the stone in t seconds is given by the formula 16t² + vt. (No air resistance.) S= • You time 2 seconds for the stone to fall to the ground. Using the above formula you can calculate the downward speed which is 18 ft/sec (check it by yourself). However you know your stopwatch is accurate only to within +0.1 sec. Use a tangent line approximation to infer an error estimate for the downward speed your friend threw the stone. Your Answer:

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Your friend is at the top of a building which you know to be exactly 100 feet high.
She throws a stone downward at a speed U ft/sec, and you time how long it takes to
hit the ground.
• The distance (in feet) fallen by the stone in t seconds is given by the formula
16t² + vt. (No air resistance.)
S =
• You time 2 seconds for the stone to fall to the ground. Using the above
formula you can calculate the downward speed which is 18 ft/sec (check it by
yourself). However you know your stopwatch is accurate only to within +0.1
sec.
Use a tangent line approximation to infer an error estimate for the downward speed
your friend threw the stone.
Your Answer:
Transcribed Image Text:Your friend is at the top of a building which you know to be exactly 100 feet high. She throws a stone downward at a speed U ft/sec, and you time how long it takes to hit the ground. • The distance (in feet) fallen by the stone in t seconds is given by the formula 16t² + vt. (No air resistance.) S = • You time 2 seconds for the stone to fall to the ground. Using the above formula you can calculate the downward speed which is 18 ft/sec (check it by yourself). However you know your stopwatch is accurate only to within +0.1 sec. Use a tangent line approximation to infer an error estimate for the downward speed your friend threw the stone. Your Answer:
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