2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? с. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? e. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time

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Chapter1: Units, Trigonometry. And Vectors
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2. The position of a drone as a function of time is given by
*(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j
The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units
on all the constant coefficients in your answers below.
a.
What is the x-position of the drone as a function of time?
b.
What is the y-position of the drone as a function of time?
c. How far away is the drone from its starting position at t = 3s?
d.
What is the acceleration vector?
е.
What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the
position vector.)
f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape.
time
time
time
Transcribed Image Text:2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time
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