The vector position of a particle varies in time according to the expression  = 8.80 î − 8.60t2 ĵ 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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The vector position of a particle varies in time according to the expression  = 8.80 î − 8.60t2 ĵ 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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