Projectile Problem: How to Find Distance of Ball Launched at 30 Degrees

Click For Summary
SUMMARY

The discussion centers on calculating the horizontal distance a ball will travel when launched at a 30-degree angle from a height of 56.2 meters. The key equation used is t = vy/g, where g is the acceleration due to gravity (9.8 m/s²). Participants clarify that dy represents the height of launch, leading to the conclusion that if dy is the maximum height, additional information is required to determine the landing distance accurately. The ambiguity around the definition of dy is critical for solving the problem correctly.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometry, specifically sine and cosine functions
  • Basic grasp of gravitational acceleration (9.8 m/s²)
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to resolve velocity components using trigonometric functions
  • Explore the concept of maximum height in projectile motion
  • Investigate the effects of launch height on range calculations
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in solving real-world problems involving angles and distances in motion.

lkadfj
Messages
1
Reaction score
0

Homework Statement


A ball is launched at 30 degrees. How far away will it land if dy= 56.2m (height of launch)

Homework Equations


t=vy/g

The Attempt at a Solution


t=vy/9.8m/s
I can't figure out how to find either vy or t
 
Physics news on Phys.org
lkadfj said:

Homework Statement


A ball is launched at 30 degrees. How far away will it land if dy= 56.2

Homework Equations


t=vy/g

The Attempt at a Solution


t=vy/9.8m/s
I can't figure out how to find either vy or t
Heck, I can't figure out what dy = 56.2 is supposed to be. Does it have units? Is it a velocity? A distance? What?
 
lkadfj said:
A ball is launched at 30 degrees. How far away will it land if dy= 56.2m (height of launch)
You seem to be saying that dy is the height from which it was launched (compared with the landing point, presumably). But if so, there's not enough information. From the name 'dy' I would guess it might mean the maximum height reached (as in, delta y), and that the landing point is on the same level as the launch point. If so, there is enough information.
 

Similar threads

Replies
11
Views
2K
Replies
8
Views
3K
Replies
40
Views
3K
  • · Replies 39 ·
2
Replies
39
Views
5K
Replies
8
Views
2K
  • · Replies 15 ·
Replies
15
Views
27K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
10
Views
4K