3. Suppose that the positions of two particles at the time t are given by r(t)...
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3. Suppose that the positions of two particles at the time t are given by r₁(t) = 2 cos(t) sin²(t)i + sin(t)j r₂(t) = sin(t)i + cos(t)j Define x,(t), y(t) by r(t) = x(t)i + y(t)j for i E {1,2}. (a) Express the set X = {t ER: y(t) = y2(t)} in abbreviated form. Note that X is infinite. (b) Use your answer to (a) to find the set C of t-values for which there are collisions between the particles. (c) Find the two places in R2 at which the collisions you found in (b) occur. 3. Suppose that the positions of two particles at the time t are given by r₁(t) = 2 cos(t) sin²(t)i + sin(t)j r₂(t) = sin(t)i + cos(t)j Define x,(t), y(t) by r(t) = x(t)i + y(t)j for i E {1,2}. (a) Express the set X = {t ER: y(t) = y2(t)} in abbreviated form. Note that X is infinite. (b) Use your answer to (a) to find the set C of t-values for which there are collisions between the particles. (c) Find the two places in R2 at which the collisions you found in (b) occur.
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a AAM A t 2 Cos t Sin ti Sin t j J t sint Cos t tR y ... View the full answer
Related Book For
International Management Culture, Strategy, and Behavior
ISBN: 978-0077862442
9th edition
Authors: Fred Luthans, Jonathan Doh
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