- #1
thomasrules
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i can't factor 0=81t^2-16t^-2
The question was to find when the velocity will be zero from s=27t^3+(16/t)+10
The question was to find when the velocity will be zero from s=27t^3+(16/t)+10
[tex]81t^2 - 16t^{-2} = 0[/tex] is what you say you have and you need to do what with it?thomasrules said:i can't factor 0=81t^2-16t^-2
The question was to find when the velocity will be zero from s=27t^3+(16/t)+10
cepheid said:Yeah okay, so you differentiated that equation for s and got the velocity as a function of time (looks like you differentiated correctly too!) So, when will the velocity equal zero?
You already set up the equation:
81t2 - 16t-2 = 0
81t2 = 16t-2
Why not divide both sides by t-2?
81t4 = 16
t4 = 16/81
Notice that 24 = 16 and 34 = 81
So your equation becomes: t4 = (2/3)4
t = 2/3
You were right! It was easy calculus, followed by easy algebra!
dextercioby said:Basically,what u did is wrong...The equation has 4 distinct solutions...The imaginaty ones can be thrown away,but the negative one,i don't see why??
Daniel.
thomasrules said:BRoss lol that is sort of what i did except i put (4+0.5x) at the beginning instead of subtracting it at end.
But I still don't get the answer, try it out man.
0=-3.5x^2+72x+800
7x=72
x=10.******
WHICH IS WRONG...answer is 15$
Zero velocity in calculus refers to the point at which an object's instantaneous velocity is equal to zero. In other words, the object is not moving at that particular moment.
To solve for zero velocity in calculus, you need to set the equation for the object's velocity equal to zero and then use algebraic techniques to solve for the variable. In this case, we have an equation of 81t^2-16t^-2 = 0. We can factor out a t^-2 to get t^-2(81t^4-16) = 0. Then, we can set each factor equal to zero and solve for t. The solutions will give us the times when the object has zero velocity.
In this equation, t represents time. It is the variable we are solving for in order to find the times when the object has zero velocity.
Solving for zero velocity in calculus is important because it allows us to determine the times when an object is at rest. This can be useful in analyzing the motion of objects and understanding concepts such as acceleration and displacement.
Yes, there are other methods for solving for zero velocity in calculus. One method is to use graphical techniques, such as plotting the velocity equation on a graph and finding the x-intercepts where the velocity is equal to zero. Another method is to use calculus concepts, such as finding the critical points of the velocity function and setting them equal to zero.