Calculating Arrow Flight Time: Solving for Distance and Angle

  • Thread starter Thread starter Joza
  • Start date Start date
  • Tags Tags
    Air Time
Click For Summary
SUMMARY

The discussion focuses on calculating the time taken for an arrow shot at a 45-degree angle to land 100 meters away at the same height. Participants emphasize the importance of separating vertical and horizontal motion equations to solve the problem without needing the initial velocity. By using the horizontal distance and the angle of launch, one can derive the time of flight through basic kinematic equations. The solution is simplified by recognizing that the initial velocity can be treated as a variable.

PREREQUISITES
  • Understanding of basic kinematics
  • Familiarity with projectile motion equations
  • Knowledge of trigonometric functions related to angles
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the equations of motion for projectile trajectories
  • Learn how to derive time of flight from horizontal distance and launch angle
  • Explore the effects of air resistance on projectile motion
  • Investigate the relationship between initial velocity, angle, and range in projectile motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and kinematics.

Joza
Messages
139
Reaction score
0
If an arrow is shot at an angle 45 to the horizontal, and lands in the ground a distance(same height as it was shot) 100m away, is it possible to work out the time taken? I can't figure it out...I have been messing around with equations, but because we don't have an initial velocity I can't get it.


Any ideas?
 
Physics news on Phys.org
Assuming you can ignore the complications of air resistance, you should be able to figure it out. Hint: Write separate equations for vertical and horizontal position as a function of time. Then solve them together, making use of the given information. (You don't need to know the initial velocity--just call it "v".)
 
Cheers for the input:smile:

I don't know how I didn't realize it was that simple!
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 14 ·
Replies
14
Views
6K
Replies
4
Views
3K
  • · Replies 29 ·
Replies
29
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
13
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K