4. a) A robot moves in the xy-plane. The robot's acceleration has components given by ax = (6.00 m/s*) ² and ay = 3.00 m/s² - (8.00 m/s³) t. (The y-direction is positively upward). If it initially starts from rest and its initial position is r = (5.0 m) î + (2.0 m) ĵ, %3D i) Calculate the x- and y-components of the robot's velocity at time t = 4.0 s. ii) Calculate the x- and y-components the robot’s displacement at time t= 4.0 s. iii) When does the robot reach its maximum height?

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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4. a) A robot moves in the xy-plane. The robot's acceleration has components given by
ax = (6.00 m/s*) ? and ay = 3.00 m/s? - (8.00 m/s³) t. (The y-direction is positively upward). If it
initially starts from rest and its initial position is r = (5.0 m) î + (2.0 m) ĵ,
i) Calculate the x- and y-components of the robot's velocity at time t =
= 4.0 s.
ii) Calculate the x- and y-components the robot's displacement at time t = 4.0 s.
iii) When does the robot reach its maximum height?
Transcribed Image Text:4. a) A robot moves in the xy-plane. The robot's acceleration has components given by ax = (6.00 m/s*) ? and ay = 3.00 m/s? - (8.00 m/s³) t. (The y-direction is positively upward). If it initially starts from rest and its initial position is r = (5.0 m) î + (2.0 m) ĵ, i) Calculate the x- and y-components of the robot's velocity at time t = = 4.0 s. ii) Calculate the x- and y-components the robot's displacement at time t = 4.0 s. iii) When does the robot reach its maximum height?
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