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

  • Thread starter blueskadoo42
  • Start date
In summary, to find the time when the two stones are at the same height, you can use the equations X-Xo = Vox*t + .5Ax*t^2 and Vx^2 = Vox^2 + 2Ax (x-xo). By setting the time dependence of displacement for both stones equal to each other and keeping the 1.860 second delay in mind, you can solve for the time at which they are at the same height.
  • #1
blueskadoo42
26
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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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  • #2
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?
 
  • #3
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...
 
  • #4
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.
 
  • #5
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...
 

1. What is the difference between velocity and acceleration?

Velocity is a measure of the rate of change of an object's position over time, while acceleration is a measure of the rate of change of an object's velocity over time.

2. How do you calculate velocity and acceleration?

Velocity is calculated by dividing the change in position by the change in time, while acceleration is calculated by dividing the change in velocity by the change in time.

3. What is the unit of measurement for velocity and acceleration?

The unit of measurement for velocity is meters per second (m/s), while the unit for acceleration is meters per second squared (m/s^2).

4. How does velocity and acceleration affect an object's motion?

Velocity determines the speed and direction of an object's motion, while acceleration determines how quickly the velocity is changing. An object with a constant velocity will continue at the same speed and direction, while an object with a changing velocity (acceleration) will change its speed and/or direction over time.

5. Can an object have a velocity and acceleration of zero at the same time?

Yes, an object can have a velocity and acceleration of zero at the same time. This would mean that the object is not moving and its velocity is not changing over time.

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