I think the A should lie outside the parentheses (as in, ).
Find dS/dt:
.
Differentiate again to find A.
New to the forum, and ofcourse I type in Math help and up pops this great place!
I have an assignment due tomorrow and I cannot figure out this question... It is basic calc but not taking calc for over 10 years, I am rusty.
Could someone give me a hand with this question!!
Given the following equation for displacement:
S =S_{o }+ V_{o}T - 1/2(AT)^{2 }; Where S_{o}, V_{o }and A are constants.
Use the equation for the derivative to find V from the derivative of the displacement, and then A, from the derivative of velocity.
Any help with this would be great - If it can be broken down into steps so I can understand?
Thank you kindly....
-One frustrated student.
Jeff
To further this, I know you have to get the prime of S which will cancel out a bunch of the characters, but I am stuck with breaking that down.
To get the A... I am unsure. A friend mentioned to get the prime of the prime, but I am not sure if that is how to do it.
Basically what I did was differentiate both sides with respect to time (t). This is because, if X = Y, then dX/dt = dY/dt.
The LHS just becomes dS/dt. For the RHS, you can differentiate by finding the derivatives of each of the terms and then adding them up.
The derivative of a constant ( ) is zero. d/dt of any constant times t, is just that constant, so . The derivative of any expression in the form is just (look up "power rule").
Therefore,
Richard,
Thank you kindly for your help - Next time I will drop the brackets... I see what I did there now. Thank you for questioning that...
I will be reviewing this in the morning but what you have wrote out does make sense. A bit of practice will go a long way.
Congrats on post 500 as well! Well deserved - Now how do I give a thumbs up?
-Jeff