A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a function of time is given by: i = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]f where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of them as the East and North directions, if that helps you). b). What are the magnitude and direction of the car's velocity at t = 8.0 s? c). What are the magnitude and direction of the car's acceleration at t = 8.0 s? (Don’t be intimated by the velocity function! Look at the î and ĵ components, and work each component separately to begin with, before combining components together to get any resultant vectors, if needed.)

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
Chapter1: Introduction And Vectors
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A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a
function of time is given by:
3 = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]j
where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of
them as the East and North directions, if that helps you).
b). What are the magnitude and direction of the car's velocity at t = 8.0 s?
c). What are the magnitude and direction of the car's acceleration at t = 8.0 s?
(Don't be intimated by the velocity function! Look at the î and ĵ components, and work each component
separately to begin with, before combining components together to get any resultant vectors, if needed.)
Transcribed Image Text:A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a function of time is given by: 3 = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]j where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of them as the East and North directions, if that helps you). b). What are the magnitude and direction of the car's velocity at t = 8.0 s? c). What are the magnitude and direction of the car's acceleration at t = 8.0 s? (Don't be intimated by the velocity function! Look at the î and ĵ components, and work each component separately to begin with, before combining components together to get any resultant vectors, if needed.)
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