At what time do the two stones reach the same height?

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Homework Help Overview

The problem involves two stones thrown vertically upward with the same initial speed of 25.30 m/s, but with a time delay of 1.860 seconds between their launches. The objective is to determine the time at which both stones reach the same height during their trajectories.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss setting the height equations equal to find the time when both stones are at the same height. There are mentions of using kinematic equations, but some participants express difficulty in obtaining reasonable results. Questions about the time to reach maximum height and the implications of the delay in launching the second stone are also raised.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the time to reach maximum height and the need to consider the timing of the second stone's launch. However, there is no explicit consensus on the method to solve the problem.

Contextual Notes

Participants are working under the constraints of the problem setup, including the initial speeds and the time delay between the launches. There is an emphasis on understanding the motion of both stones throughout their trajectories.

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A stone is thrown vertically upward at a speed of 25.30 m/s at time t=0. A second stone is thrown upward with the same speed 1.860 seconds later. At what time are the two stones at the same height?

what are the equations needed, and any help is greatly appreciated thanks
 
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Hi blueskadoo,

blueskadoo42 said:
A stone is thrown vertically upward at a speed of 25.30 m/s at time t=0. A second stone is thrown upward with the same speed 1.860 seconds later. At what time are the two stones at the same height?

what are the equations needed, and any help is greatly appreciated thanks

What have you tried so far?
 
i have tried setting them equal.
also, tried using the equation X-Xo= Vox*t + .5Ax*t^2
and Vx^2=Vox^2 + 2 Ax (x-xo)

i can't seem to be getting anything reasonable...
 
blueskadoo42 said:
i have tried setting them equal.
also, tried using the equation X-Xo= Vox*t + .5Ax*t^2
and Vx^2=Vox^2 + 2 Ax (x-xo)

i can't seem to be getting anything reasonable...

How long does it take to reach max height?

Would this be given by Vo/g = t seconds?

Figure that value to decide where the first stone will be when the second is released. (If it has already hit the ground by the time you throw, then it will have already crossed before you threw it. If the first stone is dropping when you throw #2 ... it's good to know what the two are doing so you can keep things straight.
 
blueskadoo42 said:
A stone is thrown vertically upward at a speed of 25.30 m/s at time t=0. A second stone is thrown upward with the same speed 1.860 seconds later. At what time are the two stones at the same height?

what are the equations needed, and any help is greatly appreciated thanks

Write out the time dependence of displacement for both the bodies (keep the 1.860 seconds in mind) and equate them...
 

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