Finding max. height of object thrown vertically upard

  • Thread starter Thread starter chuntaro
  • Start date Start date
  • Tags Tags
    Height Max
Click For Summary
SUMMARY

The maximum height of an object thrown vertically upward with an initial speed of 47 m/s can be determined using the kinematic equations. The final velocity at the peak height is 0 m/s, and the acceleration due to gravity is 9.8 m/s². By applying the equations V² - Vo² = 2g(2/3)h and 0 - Vo² = 2gh, one can derive the maximum height (h) above the launch point. The correct approach involves manipulating these equations to isolate and solve for h.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to manipulate algebraic equations
  • Familiarity with concepts of velocity and height in projectile motion
NEXT STEPS
  • Study the derivation of kinematic equations in physics
  • Learn about projectile motion and its applications
  • Explore the concept of energy conservation in vertical motion
  • Practice solving problems involving maximum height and initial velocity
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of vertical motion and projectile dynamics.

chuntaro
Messages
1
Reaction score
0

Homework Statement


An object is thrown vertically upward such that it has a speed of 47 m/s when it reaches two thirds of its maximum height above launch point. Find maximum height h.



Homework Equations



V^2-Vo^2 = 2gh
or
V^2-Vo^2 = 2g(1/3H)?

The Attempt at a Solution


Final velocity= 0 m/s
Velocity at 2/3h= 47 m/s
Acceleration of gravity=9.8 m/s^2
 
Physics news on Phys.org
dont confuse yourself .. You can solve the following equations to get the max. Height :

(47)^2 - vo^2 = 2g(2/3) ymax
0 - vo^2 = 2g ymax

You can as a start subtract the second equation from the first .. And keep in mind that you are using g as a vector not a scalar value in that equation ..
 

Similar threads

Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
800
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 38 ·
2
Replies
38
Views
4K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
5
Views
1K
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K