Basic Kinematics Variables Using Calculus: the Velocity of an Object

Basic kinematics variables using calculus: The velocity of an object is given by the expression v(t) = 3.00 m/s + ( 4.00 m/s³) t², where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time t = 0.000 s.

A) ( 4.00 m/s) t + 1.00 m
B) (3.00 m/s) t + ( 1.33 m/s3) t³
C) ( 4.00 m/s) t
D) 1.33 m
E) 1.00 m + (3.00 m/s) t + ( 1.33 m/s³) t³

Correct Answer:

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