Position of an object in time and force

AI Thread Summary
The position of an object as a function of time is defined by the equation x = bt^3 ihat + ct jhat, with specific values for b and c provided. To find the force on a 2.0 kg object at t = 1.8 s, one must first calculate the acceleration by taking the second derivative of the position function with respect to time. The relationship F = ma is then used to determine the force. The discussion emphasizes the importance of understanding the sequence of position, velocity, and acceleration in solving the problem. The final calculation yields the force acting on the object.
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Homework Statement



The position of an object as a function of time is given by = bt^3 ihat + ct jhat . If and , what is the force on a 2.0 kg object when t = 1.8 s?



The Attempt at a Solution



I tried multiplying it and got m ihat + m jhat. I don't even know where to begin.
 
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If and , what is the force on a 2.0 kg object when t = 1.8 s?

This statement is not clear. Rewrite it.
 
The position of an object as a function of time is given by = bt^3 ihat + ct jhat . If b=2.1m/s^3 and c=1.7m/s, what is the force on a 2.0kg object when t=1.8s
 
Let x = bt^3 ihat + ct jhat
Find a = d^2(x)/dt^2 and substitute t = 1.8 s
Now find F.
 
so x=(bt^3ihat +ct)?

then u want me to find the derivative?
 
Ha, I went to get breakfast and kept thinking about it. It goes position, velocity, then acceleration. So I take the 2nd derivative with respect to time, then use f=ma. Thanks you! =)
 
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