Q. A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v = [5 ms-1 – (0.018 ms-³)t²]î + [2ms¬1 + (0.55 ms-3)t²]ĵ. (i) What are ax(t) and ay(t), the x- and y-components of the velocity of the car as functions of time? (ii) What are the magnitude and direction of the velocity of the car at t=8s? (iii) What are the magnitude and direction of the acceleration of the car at t=8s? [Use basic definition of acceleration]

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Q. A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a
function
of
time is given by
v = [5 ms-1 – (0.018 ms-³)t²]î + [2ms¬1 +
(0.55 ms-³)t²]ĵ. (i) What are ax(t) and ay(t), the x- and y-components of the velocity of
the car as functions of time? (ii) What are the magnitude and direction of the velocity of
the car at t=8s? (iii) What are the magnitude and direction of the acceleration of the car
at t=8s? [Use basic definition of acceleration]
Transcribed Image Text:Q. A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v = [5 ms-1 – (0.018 ms-³)t²]î + [2ms¬1 + (0.55 ms-³)t²]ĵ. (i) What are ax(t) and ay(t), the x- and y-components of the velocity of the car as functions of time? (ii) What are the magnitude and direction of the velocity of the car at t=8s? (iii) What are the magnitude and direction of the acceleration of the car at t=8s? [Use basic definition of acceleration]
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