MHB Mechanics- general motion in a straight line

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The discussion focuses on calculating the derivative of the motion equation s = 4t^2 - √(2t^3). Participants confirm the use of calculus, particularly derivatives, to find the velocity as ds/dt = 8t - (3√(2t))/2. A quadratic equation is derived from the calculations, leading to the conclusion that t equals 2s. The conversation emphasizes the importance of understanding derivatives in solving motion problems. Overall, the participants successfully navigate the calculus involved in the motion equation.
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I don't know how to calculate this. Pls help
 
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$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
 
skeeter said:
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
Yeah so ds/dt=8t-3sqroot(2t)/2
 
skeeter said:
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
I have tried doing this so ds/dt=v
13= 8t-3sqroot (2t)/2
 
skeeter said:
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
So I get quadratic equation. I got t=2s. Thank you very much!
 
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