Projectile Motion: Calculating Flight Time and Initial Speed

  • Thread starter jarrellboog04
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In summary, the rifle was aimed horizontally at a target 50m away and the bullet hit the target 2.0cm below the aim point. The bullet's flight time was found to be 0.064 seconds using the equation y^f=y^i + (v^y)i delta (t)-1/2g(delta (t)2. The bullet's speed as it left the barrel was calculated to be 781.25 m/s using the equation x^f=x^i+(v^x)i delta (t) and taking into account that the initial position, Xi, was 0.
  • #1
jarrellboog04
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A rifle is aimed horizontally at a target 50m away. The bullet hits the target 2.0cm below the aim point.

A. What was the bullet's fight time?
B. What was the bullet's speed as it left the barrel?

Please HELP!
 
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  • #2
jarrellboog04 said:
A rifle is aimed horizontally at a target 50m away. The bullet hits the target 2.0cm below the aim point.

A. What was the bullet's fight time?
B. What was the bullet's speed as it left the barrel?

Please HELP!

Welcome to PF.

How long does it take to drop 2 cm?
 
  • #3
It does not give that info
 
  • #4
It does not give me the time
 
  • #5
I have some equations but i am not sure how to use them
 
  • #6
jarrellboog04 said:
It does not give me the time

Well then figure it out.

You know gravity.
You know the distance.
So ...
 
  • #8
None of those are the equations i have for the problem i have the answer from the back of the book but that does not help if i do not no how to answer it i tried many differnet ways but still can not find the right way
 
  • #9
jarrellboog04 said:
None of those are the equations i have for the problem i have the answer from the back of the book but that does not help if i do not no how to answer it i tried many differnet ways but still can not find the right way

Which of those equations relates gravity, time and position? That is of course if you dropped it from rest, Vo = 0?
 
  • #10
i changed the 2cm to .02m to get the same units
 
  • #11
jarrellboog04 said:
i changed the 2cm to .02m to get the same units

OK. That you have to do.

So which equation did you try?
 
  • #12
I did conversion. I jus figured out the answer to part a i got .064s
i used the equarition
y^f=y^i + (v^y)i delta (t)-1/2g(delta (t)2
 
  • #13
jarrellboog04 said:
I did conversion. I jus figured out the answer to part a i got .064s
i used the equarition
y^f=y^i + (v^y)i delta (t)-1/2g(delta (t)2

Right equation. Good result.

Now it traveled 50 m in that time.
How fast you figure it was going to do that?
 
  • #14
But now i am trying do part b but cant
 
  • #15
jarrellboog04 said:
But now i am trying do part b but cant

Now it traveled 50 m in that time.
How fast you figure it was going to do that?
 
  • #16
I am going to use this equation and see if i can figure it out
x^f=x^i+(v^x)i delta (t)
 
  • #17
jarrellboog04 said:
I am going to use this equation and see if i can figure it out
x^f=x^i+(v^x)i delta (t)

OK. that works. Xi is 0 of course.
 
  • #18
i got Xi to be .02m
 
  • #19
i got xi to .o2cm
 
  • #20
jarrellboog04 said:
i got Xi to be .02m

No. When it was aimed it was aimed toward 0. It dropped .02.
 
  • #21
u still can not figure it out
 
  • #22
jarrellboog04 said:
u still can not figure it out

Which component are you talking about?

The time times x-Velocity is 50m.

x-Velocity is 50m/.064s

This is not rocket science. Oh, wait a minute, it is.
 
  • #23
I meant to say i still can not fingure it out
 
  • #24
thanks
 
  • #25
this is hard
 

What is projectile motion?

Projectile motion is the motion of an object that is thrown or launched into the air and then moves under the force of gravity. It is a combination of horizontal and vertical motion, with the horizontal motion remaining constant and the vertical motion being affected by the force of gravity.

How do you calculate the flight time of a projectile?

The flight time of a projectile can be calculated using the equation t = 2 * V * sin(theta) / g, where t is the flight time, V is the initial velocity, theta is the angle of launch, and g is the acceleration due to gravity (9.8 m/s^2).

What is the initial velocity in projectile motion?

The initial velocity in projectile motion is the velocity at which the object is launched or thrown into the air. It has both horizontal and vertical components, and can be calculated using the equation V = sqrt(Vx^2 + Vy^2), where Vx is the initial horizontal velocity and Vy is the initial vertical velocity.

How does air resistance affect projectile motion?

Air resistance, or drag, can affect the flight of a projectile by slowing it down and changing its trajectory. This is because air resistance creates a force in the opposite direction of the projectile's motion, which decreases its velocity. However, air resistance is usually negligible for most projectile motion calculations.

What is the maximum height of a projectile?

The maximum height of a projectile is the highest point it reaches during its flight. It can be calculated using the equation h = (Vy^2 / 2g), where h is the maximum height, Vy is the initial vertical velocity, and g is the acceleration due to gravity. The maximum height is also equal to the vertical displacement at the peak of the projectile's trajectory.

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