tor A = 53.0 cm is at an angle of 270° from the horizontal, and vector B = 82.0 cm is at angle 8. )What is A + BỊ (in cm) as a function of 8? (Use the following as necessary: 6. Do not include units in your answer.)

Principles of Physics: A Calculus-Based Text
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Chapter1: Introduction And Vectors
Section: Chapter Questions
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Vector A = 53.0 cm is at an angle of 270° from the horizontal, and vector B = 82.0 cm is at angle 0.
(a) What is |A + BỊ (in cm) as a function of 0? (Use the following as necessary: 0. Do not include units in your answer.)
JA + B| =
cm
(b) Using the result from part (a), for what value of e (in degrees) does |A + B| take on its maximum value?
What is this maximum value (in cm)?
cm
(c) Using the result from part (a), for what value of e (in degrees) does |A + B| take on its minimum value?
What is this minimum value (in cm)?
cm
(d) What If? How would your answers to parts (a)-(c) change if B was now subtracted from A and the magnitude of A - B| was evaluated as a function of 0? (Enter the magnitude as a function of e in cm. Do not include units in your answer. Enter the maximum and
minimum values in cm.)
A - B =
cm
Maximum value
cm
Minimum value
cm
Transcribed Image Text:Vector A = 53.0 cm is at an angle of 270° from the horizontal, and vector B = 82.0 cm is at angle 0. (a) What is |A + BỊ (in cm) as a function of 0? (Use the following as necessary: 0. Do not include units in your answer.) JA + B| = cm (b) Using the result from part (a), for what value of e (in degrees) does |A + B| take on its maximum value? What is this maximum value (in cm)? cm (c) Using the result from part (a), for what value of e (in degrees) does |A + B| take on its minimum value? What is this minimum value (in cm)? cm (d) What If? How would your answers to parts (a)-(c) change if B was now subtracted from A and the magnitude of A - B| was evaluated as a function of 0? (Enter the magnitude as a function of e in cm. Do not include units in your answer. Enter the maximum and minimum values in cm.) A - B = cm Maximum value cm Minimum value cm
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