Projectile Height Calculation: Baseball Thrown at 30 Degrees

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SUMMARY

The discussion centers on calculating the maximum height of a baseball thrown at an initial velocity of 20 m/s at a 30-degree angle from a height of 2 meters. The correct approach involves using the kinematic equation 0 = Vi^2 + 2ad, where Vi is the initial vertical velocity component. The calculated height without considering the release height is 5.0 meters, but adding the initial height of 2 meters results in a total height of 7.0 meters. Participants noted variations in gravitational acceleration (g = 9.81 m/s² vs. g = 10 m/s²) affecting the final calculations.

PREREQUISITES
  • Kinematic equations for projectile motion
  • Understanding of vector components in physics
  • Basic knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Trigonometric functions for angle calculations
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  • Study the derivation and application of kinematic equations in projectile motion
  • Learn how to resolve vectors into their components using trigonometric functions
  • Explore the effects of varying gravitational acceleration on projectile calculations
  • Practice similar problems involving projectile motion with different initial heights
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bionut
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Homework Statement



A baseball is thrown with an initial velocity of 20 ms at an angle of 30 degrees with the horizontal. How high did it go if it was released and caught 2 meters from the ground?


Homework Equations





The Attempt at a Solution



0=Vi^2 + 2ad
0=(20Sin30)2 + 2 X (-9.8)d
19.62d=100
d=100/19.62
d=5.0m, but this is wrong... Would I mabey need to add 2m to my answer beacuse it is projected from a 2m height? therefore it will go 7m??
 
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bionut said:

Homework Statement



A baseball is thrown with an initial velocity of 20 ms at an angle of 30 degrees with the horizontal. How high did it go if it was released and caught 2 meters from the ground?


Homework Equations


The Attempt at a Solution



0=Vi^2 + 2ad
0=(20Sin30)2 + 2 X (-9.8)d
19.62d=100
d=100/19.62
d=5.0m, but this is wrong... Would I mabey need to add 2m to my answer beacuse it is projected from a 2m height? therefore it will go 7m??

Adding the 2 would be a very good idea , yes

EDIT: you did round off quite a bit to get 5.0m too. That is the answer you get if you take g = 10
 
I know... I got 5.10m, whihc would give 7.1m... I think my teacher sometimes uses 10 or 9.81 depends what kind of day it is ;-), lol
 

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