Projectile Velocity Analysis: Solving for Initial Vertical Velocity

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SUMMARY

The discussion focuses on solving for the initial vertical velocity (VV1) of a soccer ball projected at an angle, given a horizontal distance of 120 meters traveled in 3 seconds. The horizontal velocity (VH) is calculated as 40 m/s using the formula V = d/t. The initial vertical velocity (VV1) is determined to be 14.7 m/s upwards, using the kinematic equation V2 = V1 + at, where the acceleration due to gravity is -9.81 m/s². The participant successfully resolves the confusion regarding part b) after further consideration.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of vector components in projectile motion
  • Familiarity with basic algebra for solving equations
  • Concept of gravitational acceleration (-9.81 m/s²)
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  • Study the derivation of projectile motion equations
  • Learn how to resolve vectors into horizontal and vertical components
  • Explore the effects of different launch angles on projectile trajectories
  • Investigate the role of air resistance in real-world projectile motion
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High school physics students, educators teaching projectile motion concepts, and anyone interested in understanding the fundamentals of kinematics in sports applications.

kayem
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Homework Statement



A Soccer ball is projected at a certain angle (ϴ) above the horizon. It travels a horizontal distance of 1.2x102m in 3.0s.

a) Find the horizontal velocity
b) Find the initial vertical velocity (VV1).
c) Find the magnitude and direction of the initial velocity (VI)

Homework Equations



V = d/t

VH = VIcosϴ
VV1 = VIsinϴ

(Subscript H denotes the horizontal axis and Subscript V denotes the vertical axis)

The Attempt at a Solution



I know how to do Part a):

dH = v/t
dH = 120 / 30
dH = 40 m/s [Forward]

Part b confuses me. It seems to me like there is some information missing that causes me to not be able to do it but the teacher has told me that all the information that I need is there. I'll be able to get part C if somebody can help me out with b).

This is Grade 12 Physics and I haven't taken Calculus yet.Thanks to anybody who can help me out.The answers on the sheet are:
a) 40 m/s
b) 15 m/s
c) 43 m/s [20o to the horizon]

Homework Statement

Thanks in advance for any help that you can give me!
 
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Well, right after I posted it, the answer hit me so never mind.

V2 = V1 + at
0m/s = V1 + (-9.81m/s2)(1.5s)
V1 = 14.7 m/s [up]Thanks anyways!
 

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