Finding Launch Velocity given time

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SUMMARY

The discussion focuses on calculating the launch velocity of a bullet shot vertically at a 90-degree angle, which returns to the same height in 1.37 seconds. The user initially attempted to use the formula dy = vy.t + ay.t/2, with dy set to 0, vy as the launch velocity, and acceleration a as -9.8 m/s². A suggestion was made to consider the total time of 1.37 seconds instead of halving it, as this duration indicates a low trajectory, likely from a toy gun rather than a real firearm.

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  • Familiarity with vertical motion and gravitational acceleration
  • Knowledge of basic algebra for solving equations
  • Concept of time of flight in projectile motion
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Jobeanie
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Homework Statement


Hi,
So the question asks me to find the launch velocity of a bullet that was shot up at a 90 degree angle. The bullet then came back down at the same height that it was shot at in 1.37 seconds.

I'm not sure if I'm using the right formula, or even plugging the right numbers in.

Homework Equations



The Attempt at a Solution


I used the formula dy= vy.t + ay.t /2
dy = 0
vy = launch velocity
t = 0.685 (because i divided it by 2 for the max?)
and a = -9.8 m/s/s

Or would I have to use the formula a=(vf - vi)/2 ? with vf = 0 ?
Sorry, I'm really confused.

Thanks! :)
 
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Jobeanie said:

Homework Statement


Hi,
So the question asks me to find the launch velocity of a bullet that was shot up at a 90 degree angle. The bullet then came back down at the same height that it was shot at in 1.37 seconds.

I'm not sure if I'm using the right formula, or even plugging the right numbers in.

Homework Equations



The Attempt at a Solution


I used the formula dy= vy.t + ay.t /2
dy = 0
vy = launch velocity
t = 0.685 (because i divided it by 2 for the max?)
and a = -9.8 m/s/s

Or would I have to use the formula a=(vf - vi)/2 ? with vf = 0 ?
Sorry, I'm really confused.

Thanks! :)

Since you took dy = 0, you were considering the tip from start, back to ground level, so you would use the whole time.
NOTE: 1.37 seconds does not mean the "bullet" went very high? Is this actually a child's toy type of gun or is that time a bit short. A bullet from a real gun is likely to take 30 - 60 seconds to come back down.
 
It was a fake bullet. But thank you so much! :)
 

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