# Tag Info

Accepted

### Hamilton's characteristic function, wave-particle duality and constant-action surfaces

You are right, trajectories of the solutions of EL equations are not normal to the surfaces at constant $S$ in general, if using the Euclidean metric in coordinates which, however, has no physical ...
• 74.7k
1 vote
Accepted

### How acceleration affects velocity?

... each second $y_{acc}$ is added to $y_{vel}$ ... Not really. $y_{vel}$ changes continuously, not just once a second. The overall effect is to increase $y_{vel}$ by an amount $y_{acc}$ each second, ...
• 56.8k

### How acceleration affects velocity?

You error is perhaps best illustrated using a velocity vs time graph. You have stated quite correctly that the velocity after 1 second is $g$, after 2 seconds is $2g$, after 3 seconds is $3g$, etc. ...
• 98k

### How acceleration affects velocity?

You probably receive more down votes for bad notation, but good job for trying. Anyway, the problem is here: So, In my understanding on each second π¦πππ is added to π¦π£ππ after that π¦π£ππ ...
• 216
Accepted

### Why is the derivative of the distance between two points not their relative velocity?

This is (mathematically) straight-forward if you just compute the time-derivative of the distance directly. If the instantaneous positions of the two particles are $\vec{r}_1$ and $\vec{r}_2$, and \$r=\...
• 8,369
Accepted

### Is the answer given in the option wrong?

The answer sheet is correct. You are ignoring the statement βThe direction of the motion of the object changed only once, at time t.β That means that the velocity was zero at time t. So before time t ...
• 104k
1 vote

### Doppler shift from a moving reflector and source if only the relative velocity is known?

can we determine the relative velocity with doppler effect? Yes we can. This is similar to the principle that that police speed radar works on, except that the police radar uses electromagnetic waves....
• 6,596