A particle moves along a portion of the parabolic path y² = 4-x, where x and y are in meter, within the time interval 0 ≤ t ≤ 10 s. The horizontal component of the position of the particle is defined as x = 4 sin (t) where t is in second and It is angle in radian. 20 At the instant when t = 1.5 s calculate (a) the speed and (b) the magnitude of the normal acceleration of the particle. Hint (you may or may not use this): The radius of curvature is expressed as: ³/2 Р 11 + al |d²y| dx²

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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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A particle moves along a portion of the parabolic path y² = 4 x, where x and y are in
meter, within the time interval 0 ≤ t ≤ 10 s. The horizontal component of the position of
the particle is defined as x = 4 sin (t) where t is in second and It is angle in radian.
20
At the instant when t = 1.5 s calculate (a) the speed and (b) the magnitude of the
normal acceleration of the particle. Hint (you may or may not use this): The radius of
curvature is expressed as:
27³/2
[1 + -(dz) ²
|d²y|
dx²
Transcribed Image Text:A particle moves along a portion of the parabolic path y² = 4 x, where x and y are in meter, within the time interval 0 ≤ t ≤ 10 s. The horizontal component of the position of the particle is defined as x = 4 sin (t) where t is in second and It is angle in radian. 20 At the instant when t = 1.5 s calculate (a) the speed and (b) the magnitude of the normal acceleration of the particle. Hint (you may or may not use this): The radius of curvature is expressed as: 27³/2 [1 + -(dz) ² |d²y| dx²
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