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433. assignment (position vector, velocity, acceleration)

The vector position of a particle varies in time according to the expression   = 5.20i+7.20t2j where   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.)


=
 
m/s2

(c) Calculate the particle's position and velocity at t = 4.00 s.


=
 
m
 


=
 
m/s

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