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!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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