Finding Launch Velocity given time

AI Thread Summary
To find the launch velocity of a bullet shot straight up for 1.37 seconds, the correct approach involves using the formula dy = vy * t + (1/2) * ay * t^2, where dy is the change in height (0 in this case), vy is the launch velocity, t is the total time (1.37 seconds), and ay is the acceleration due to gravity (-9.8 m/s²). The time should not be halved, as the bullet spends equal time ascending and descending. The discussion also notes that the short duration suggests the bullet may be from a toy gun rather than a real firearm, which typically has a longer flight time. Clarification on the type of bullet is important for accurate calculations.
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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