The problem involves calculating the average speed of a particle that travels half of its total distance at one speed (v1) and the other half at a different speed (v2). The participants are exploring how to express the average speed in terms of these two velocities without specific distance or time values provided.
Some participants have offered hints about establishing equations that relate distance and time, suggesting that the total distance can be treated as unspecified. Others are seeking clarification and simplification of the concepts being discussed, indicating a productive exchange of ideas without reaching a consensus.
There is a noted absence of specific values for distance or time, which is causing some participants to question how to proceed with the calculations. The discussion is focused on theoretical understanding rather than numerical solutions.
How to express? the question is above and I only know Vav = d / t or s / t. There is no data for D or S and t, the data is only for v1 and v1. So how to calculate?stockzahn said:I suppose you have to express the average speed in terms of ##v_1## and ##v_2##.
Still, I don't understand your point. Could you simplify a little bit, please?stockzahn said:By establish the right set of equations, the distance ##s## is canceled and you find the average speed ##\overline{v}## only depending on the velocities ##v_1## and ##v_2##. Hint: Start with the equation expressing the the total time needed ##t## with the variables ##s##, ##v_1## and ##v_2##
So, just let ##D## be unspecified, and express everything in terms of ##D##. After all, nobody told you what the values of ##v_1## and ##v_2## are, but that does not seem to bother you. Not knowing ##D## should not bother you either.Indranil said:How to express? the question is above and I only know Vav = d / t or s / t. There is no data for D or S and t, the data is only for v1 and v1. So how to calculate?
Indranil said:Still, I don't understand your point. Could you simplify a little bit, please?