The discussion revolves around calculating the acceleration and maximum range of a frog's jump, given a maximum vertical height of 0.28m and an acceleration distance of 0.086m. The gravitational constant is noted as 9.81 m/s², and there is mention of a 45-degree launch angle.
Some participants are attempting to clarify the original problem statement and its implications. There is an ongoing exploration of the relationship between the take-off speed, angle, and the resulting height and range of the jump. Suggestions for further analysis are being made without reaching a consensus.
There is a noted lack of information regarding the take-off speed, which is crucial for solving the problem. Participants express uncertainty about the task's requirements and the potential for misinterpretation due to translation issues.
haruspex said:Is the max vertical height that's given for a vertical jump? For a 45 degree jump? Something else?
haruspex said:Pls post the question as posed, word for word. You might be missing something in the interpretation.
haruspex said:Ok, I read that as meaning the height given is for a jump of max range. (It's not entirely clear, but I think that's a fair reading.)
Suppose the take-off speed is u. What would the max range be? What height would be reached?
haruspex said:You mentioned a 45 degree take-off. What made you suggest that?
haruspex said:On a level surface, yes. (It's different going up or down an incline.)
So assuming 45 degrees, and a take-off speed of u, what would the height and range be?
I know that. I wrote, let the take-off speed be u, an unknown. If the take-off angle is 45 degrees, what is the vertical component of speed at take-off (as a function of u)? What kinematic equations do you have relating distance, constant acceleration and initial and final speeds? Using that, what height would be reached (as a function of u)? Knowing the height the frog does reach, what value does that give you for u?bolskipolski said:I don't have any take-off speed.
No, that's the distance through which the frog was accelerating during its take-off. After you've worked out the take-off speed, you can use it in the following ways:the range could be the distance (0.086) ?