How Does Doubling Initial Height Affect Projectile Range?

Click For Summary
SUMMARY

Doubling the initial height of a projectile significantly increases its range due to the extended time it spends in the air. When a projectile is launched horizontally from a height of 2 feet compared to 4 feet, the time to fall to the ground is determined solely by gravitational acceleration, which remains constant. This additional time allows the projectile to cover a greater horizontal distance before hitting the ground, illustrating the principles of kinematics and conservation of energy in projectile motion.

PREREQUISITES
  • Understanding of basic kinematics
  • Familiarity with projectile motion concepts
  • Knowledge of gravitational acceleration
  • Basic principles of conservation of energy
NEXT STEPS
  • Study the equations of motion for projectile trajectories
  • Learn about the effects of initial height on projectile range
  • Explore the role of gravitational acceleration in projectile motion
  • Investigate real-world applications of projectile motion in sports or engineering
USEFUL FOR

Students studying physics, educators teaching kinematics, engineers involved in projectile design, and anyone interested in the mechanics of motion.

pxp004
Messages
11
Reaction score
0
What happens to range if the initial height is doubled. Say if something is shot at 2 ft and then its shot at 4 ft high, what happens to range? I know that its conservation of energy. I just have no idea how to come up with the right answer
 
Physics news on Phys.org
Plain kinematics can explain projectile range. A bullet shot horizontally will take a certain time to fall from height 2 ft to hit the ground. There's no initial vertical velocity so that time only depends on your acceleration. Use that time to find how far it goes.
 

Similar threads

Replies
40
Views
3K
Replies
5
Views
2K
  • · Replies 15 ·
Replies
15
Views
27K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K