Calculating displacement, distance traveled, and max height

Click For Summary
SUMMARY

The discussion focuses on calculating the displacement, distance traveled, and maximum height of a ball thrown at an initial speed of 43 m/s at an angle of 53.7 degrees, with gravitational acceleration set at 9.81 m/s² and ignoring friction. The key calculations include determining the time of flight, horizontal distance, and peak height using kinematic equations. The solutions involve applying projectile motion formulas, leading to definitive answers for each part of the problem.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic knowledge of trigonometry
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Study kinematic equations for projectile motion
  • Learn how to derive time of flight in projectile problems
  • Explore horizontal range calculations in physics
  • Investigate maximum height formulas for thrown objects
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in solving real-world motion problems using kinematic principles.

sugar1
Messages
3
Reaction score
0
Hi I need help solving this problem. Thank you.

1. Homework Statement [/b]

Given:
assume g = 9.81 m/s2, and friction can be ignored.

A ball is thrown into the air at speed 43 m/s, at an angle of 53.7 o to the ground. The ball lands at the same elevation as it was thrown.

a) Find the time it took to hit the ground in seconds

b) Find the horizontal distance the ball traveled in meters

c) find the maximum height the ball reached in meters
 
Physics news on Phys.org
https://www.physicsforums.com/showthread.php?t=94383
 

Similar threads

Finding an expression for max distance in terms of theta
  • · Replies 10 ·
Replies
10
Views
3K
Distance related Series Question (Cal II)
  • · Replies 6 ·
Replies
6
Views
2K
Projectile Motion that ends before max. distance
  • · Replies 1 ·
Replies
1
Views
2K
Max Height & Velocity of a Vertical Ball: Calculus Math Problem Solution
  • · Replies 2 ·
Replies
2
Views
2K
Cannonball shot off of Earth, Escape velocity, max height
  • · Replies 4 ·
Replies
4
Views
5K
Finding the height of a ball with a geometric series
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Distance traveled by a ball down a ramp and on a flat path
  • · Replies 12 ·
Replies
12
Views
3K
Oblique soccer shot calculation task
  • · Replies 38 ·
2
Replies
38
Views
4K
Calculating Displacement and Distance for Vertical Motion Problems
  • · Replies 8 ·
Replies
8
Views
2K
Projectile motion: Two Balls and Building
  • · Replies 9 ·
Replies
9
Views
2K