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0 votes
1 answer
25 views

Issue with a derivation in Marion's Dynamics [closed]

I was solving problem 2-14 in Marion's "Classical dynamics of particles and systems" edition 5. In this problem we calculate the range of a trajectory to be $d=\frac{2{v_0}^2\cos{\alpha}\sin{...
Matina's user avatar
  • 93
3 votes
3 answers
878 views

Newton's Second Law in vertical launch of a rocket

Consider a rocket being launched vertically. Let $T(t)$ denote the thrust from the engine and $M(t)$ be the total mass of the rocket at time $t$. At $t=0$, $T(0)=M(0)g$ (so that the normal force due ...
Chern-Simons's user avatar
  • 1,047
1 vote
2 answers
2k views

Acceleration as a function of position and time

I know if you have an acceleration as a function of $t$, $a(t)$, to find the velocity you simply integrate $a(t)$ with respect to $t$. Moreover, if the acceleration was a function of position, $a(x)$, ...
Tim CP's user avatar
  • 33
0 votes
1 answer
130 views

Working with infinitesimal quantities and the motivation behind it

So in my freshman physics class, in classical mechanics the homework was (it's solved already, this isn't a homework thread) the following: "A thin, spinning ring is placed on a table, that divides ...
Johnny's user avatar
  • 163
0 votes
1 answer
177 views

Acceleration as the second derivative of $e^{-\frac{1}{t^2}}$ [duplicate]

If we have, say, a material point with a zero velocity at the time $t=0$, and this point starts moving at a time $t>0$ , then we look at the force impressed on the point by inspecting the second ...
HaroldF's user avatar
  • 139