Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j, with x(t) = at + b and y(t) = ct2 + d, where a = 1.40 m/s, b = 1.50 m, c = 0.117 m/s2, and d = 1.12 m (a) Calculate the average velocity during the time interval from t = 2.15 s to t = 4.10 s. v= 2.9i + (0.234t + 1.12)j m/s (b) Determine the velocity at t = 2.15 s. v= 2.9i + 1.57j m/s Determine the speed at t = 2.15 s. The correct answer is not zero. m/s

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct² + d, where a = 1.40 m/s, b = 1.50 m, c = 0.117 m/s2, and d = 1.12 m.
(a) Calculate the average velocity during the time interval from t = 2.15 s to t = 4.10 s.
v= 2.9i + (0.234t + 1.12)j
m/s
(b) Determine the velocity at t = 2.15 s.
v = 2.9i + 1.57j
m/s
Determine the speed at t = 2.15 s.
The correct answer is not zero. m/s
Transcribed Image Text:Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct² + d, where a = 1.40 m/s, b = 1.50 m, c = 0.117 m/s2, and d = 1.12 m. (a) Calculate the average velocity during the time interval from t = 2.15 s to t = 4.10 s. v= 2.9i + (0.234t + 1.12)j m/s (b) Determine the velocity at t = 2.15 s. v = 2.9i + 1.57j m/s Determine the speed at t = 2.15 s. The correct answer is not zero. m/s
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