Find Time for 2 Pellet Guns Fired with Initial Speed of 30 m/s

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In summary, the problem involves two identical pellet guns fired simultaneously from a cliff with an initial speed of 30.0 m/s. One is fired straight upward and the other straight downward. The question asks how long it takes for the first pellet to hit the ground after the second pellet hits the ground. Using the equations y=Vot + 1/2 at^2 and t=Vo*2/a, the time difference is determined to be 6.12 seconds.
  • #1
afcwestwarrior
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Homework Statement

2 Identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 30.0 m/s to each pellet. Gun A is fired straight upward, with the pellet going up the cliff and then falling back down, eventually hitting the ground beneath the cliff. Gun B is fired straight downward. In the absence of air resistance, how long after pellet B hits the ground does pellet A hit the ground.
a= 9.8 m/s^2
Vo=30.0 m/s
t=?


Homework Equations



y=Vot + 1/2 at^2
or t=Vo*2/a
v=Vo + at

The Attempt at a Solution



Here is what I did. 30.0 m/s *2/9.8 m/s^2= 6.12 s. The answer is right, but did I do the problem right.
 
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  • #2
How did you come up with that?
 
  • #3
Well, [tex]ms^{-1} [/tex] times [tex] ms^{-2} [/tex] would not give an answer in seconds. Since both would fall from the cliff with an initial velocity of [tex] 30 ms^{-1}[/tex] and with the same acceleration, the time difference would be the time taken for pellet A to go up and come back down to the level of the cliff.
 
  • #4
bel said:
Well, [tex]ms^{-1} [/tex] times [tex] ms^{-2} [/tex] would not give an answer in seconds. Since both would fall from the cliff with an initial velocity of [tex] 30 ms^{-1}[/tex] and with the same acceleration, the time difference would be the time taken for pellet A to go up and come back down to the level of the cliff.

No it's the right answer... the units come out right. it's ms^-1 divided by ms^-2.
 
  • #5
so did i do it right
 
  • #6
afcwestwarrior said:
so did i do it right

You have not told us what you did to arrive at the expression (in particular the lefthand side of the expression):

"30.0 m/s *2/9.8 m/s^2= 6.12 s"

Thus we can not yet tell you if what you did was right.
 

1. How do you calculate the time for 2 pellet guns fired with an initial speed of 30 m/s?

To calculate the time for 2 pellet guns fired with an initial speed of 30 m/s, we can use the formula t = 2v/g, where t is the time, v is the initial speed, and g is the acceleration due to gravity (9.8 m/s^2).

2. What is the initial speed of the pellet guns?

The initial speed of the pellet guns in this scenario is 30 m/s.

3. Can you find the time for more than 2 pellet guns fired with an initial speed of 30 m/s?

Yes, the formula t = 2v/g can be used to find the time for any number of pellet guns fired with an initial speed of 30 m/s. Simply plug in the desired number for t and solve for t.

4. How does the mass of the pellet guns affect the time calculation?

The mass of the pellet guns does not affect the time calculation in this scenario. The formula t = 2v/g is only dependent on the initial speed and the acceleration due to gravity.

5. Are there any other factors that may affect the time calculation?

Aside from the initial speed and acceleration due to gravity, other factors that may affect the time calculation include air resistance and the angle at which the pellet guns are fired. However, in this scenario, we are assuming an ideal situation with no air resistance and the pellet guns being fired horizontally.

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