Find an expression for the velocity of the particle as a function of time. (Use any variable o m/s Determine the acceleration of the particle as a function of time. (Use any variable or symb m/s? Calculate the particle's position and velocity at t = 5.00 s. m

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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The vector position of a particle varies in time according to the expression ỉ = 5.60 î - 5.80t² ĵ where i is in meters and t is in seconds.
(a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
m/s
(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
a =
m/s?
(c) Calculate the particle's position and velocity at t = 5.00 s.
* =
m
m/s
Transcribed Image Text:The vector position of a particle varies in time according to the expression ỉ = 5.60 î - 5.80t² ĵ where i is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) a = m/s? (c) Calculate the particle's position and velocity at t = 5.00 s. * = m m/s
Expert Solution
Step 1

We know that the vector position of the particle varies in time is given as 

r= 5.60i^-5.80t2j^ 

where r is in the meter and t  in seconds

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