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Particle P moves along the y-axis so that its position at time t is given by (t) = 4t² − 5t + 7 for all times t. - position at time t is given by x(t) = A second particle, Q, moves along the x axis so that its sin(rt) for all times t # 2. 2-t . Find lim x(t). Show the work that leads to your answer. t-2 . Show that the velocity of particle Q is given by vo(t) 2n cos(rt)—nt cos(nt)+sin(zt) (2-t)² for all times t = 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.

Particle P moves along the y-axis so that its position at time t is given by (t) = 4t² − 5t + 7 for all times t. - position at time t is given by x(t) = A second particle, Q, moves along the x axis so that its sin(rt) for all times t # 2. 2-t . Find lim x(t). Show the work that leads to your answer. t-2 . Show that the velocity of particle Q is given by vo(t) 2n cos(rt)—nt cos(nt)+sin(zt) (2-t)² for all times t = 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for all times t. A second particle, Q, moves along the x axis so that its sin(at) position at time t is given by x(t) for all times t # 2. 2-t = a. Find lim x(t). Show the work that leads to your answer. t→2 b. Show that the velocity of particle Q is given by vo(t) = 2π сos(лt)-лt cos(πt)+sin(πt) (2-t)² for all times t # 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.
Transcribed Image Text:Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for all times t. A second particle, Q, moves along the x axis so that its sin(at) position at time t is given by x(t) for all times t # 2. 2-t = a. Find lim x(t). Show the work that leads to your answer. t→2 b. Show that the velocity of particle Q is given by vo(t) = 2π сos(лt)-лt cos(πt)+sin(πt) (2-t)² for all times t # 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.
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Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for all times t. A second particle, Q, moves along the x axis so that its sin(at) position at time t is given by x(t) for all times t # 2. 2-t = a. Find lim x(t). Show the work that leads to your answer. t→2 b. Show that the velocity of particle Q is given by vo(t) = 2π сos(лt)-лt cos(πt)+sin(πt) (2-t)² for all times t # 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.
Transcribed Image Text:Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for all times t. A second particle, Q, moves along the x axis so that its sin(at) position at time t is given by x(t) for all times t # 2. 2-t = a. Find lim x(t). Show the work that leads to your answer. t→2 b. Show that the velocity of particle Q is given by vo(t) = 2π сos(лt)-лt cos(πt)+sin(πt) (2-t)² for all times t # 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.
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