dd17e9…: “Owing to the cloudy water”

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Worked Out Examples Problem Videos

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Practice Problems: Newtonian Mechanics

A particle’s position in space along a straight path is modeled by the function $s(t) = \sage {p1f1}$ . Calculate:

The particle’s velocity at any time $t$ : $v(t) = \answer {\sage {p1ans1}}$
The particle’s acceleration at any time $t$ : $a(t) = \answer {\sage {p1ans2}}$

A particle’s velocity is the derivative of it’s position and the acceleration is the derivative of it’s velocity.

A particle’s position in space along a straight path is modeled by the function $s(t) = \sage {p2fdisp}$ . Determine the particle’s net distance traveled from $t=\sage {p2start}$ to $t=\sage {p2end}$ : $\answer {\sage {p2ans1}}$ .

A particle’s net distance traveled is merely the difference from where it started to where it ended, you don’t need to determine if the particle backtracked.

Determine the particle’s total distance traveled from $t=\sage {p2start}$ to $t=\sage {p2end}$ : $\answer {\sage {p2ans2}}$ .

A particle’s total distance traveled counts all the distance covered. Importantly this means you need to determine if, and for how far, the particle changed direction and add the absolute value of all distance covered.

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Phi	$\Phi$
Psi	$\Psi$
Omega	$\Omega$

Worked Out Examples Problem Videos

Practice Problems: Newtonian Mechanics

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