Calculus
posted by Katie .
The velocity of an object t seconds after it started moving is t(t6). Find the total change in the object's position in the 6th second.

Calculus 
Damon
v = t^2  6 t
x = (1/3)t^3  3 t^2 + c
x(6) = (1/3)(36*6)  3 (36) + c
= 72  108 + c = 36 + c
x(5) = (1/3)(125)  75 + c
= 33.3 + c
x(6)x(5) = 36 + c +33.3  c
=  2 2/3
Respond to this Question
Similar Questions

UK
The velocity of an object t seconds after it started moving is t(t9). Find the total change in the object's position in the 6th second. 
Math
An object at rest begins moving horizontally on the xaxis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND … 
Math/ Calculus Please HELP!!!
An object at rest begins moving horizontally on the xaxis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND … 
MATH please help
An object at rest begins moving horizontally on the xaxis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND … 
Big MATH Help needed
An object at rest begins moving horizontally on the xaxis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND … 
Calculus
An object at rest begins moving horizontally on the xaxis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND … 
Calculus
The velocity of an object t seconds after it started moving is 6). Find the total change in the object's position in the 6th second. 
Math Help
Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)? 
Calculus
Suppose a certain object moves in a straight line with velocity v(t)= 2+t+3sin(pi t) where v is in meters per second and t is in seconds. Determine the net change in distance of the object from time t=0 to time t=6 seconds and find … 
Math
an object is moving along the xaxis such that the position of the object in masters at time t in seconds is giving by the function x(t)=t^312t^2+36t5, for 0<=t<=8 a when is the object moving right?