The vector position of a particle varies in time according to the expression  = 3.80 î − 8.80t2 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 = 5.00 s.   =       m   =       m/s

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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The vector position of a particle varies in time according to the expression  = 3.80 î − 8.80t2 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 = 5.00 s.
  =
 
 
 
m
  =
 
 
 
m/s
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