Solving Projectile Motion Problem - Tips Needed

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SUMMARY

The projectile motion problem involves a mass of 33.6 grams thrown from a height of 1 meter at a 60-degree angle, landing 10 meters away. To find the peak vertical distance and initial velocity (Vi), the equations of motion are applied. Key insights include using the time to travel horizontally to determine the time to reach maximum height and employing the equation V^2 = U^2 - 2gh_max to calculate the maximum height. This structured approach leads to a comprehensive solution for the projectile's trajectory.

PREREQUISITES
  • Understanding of basic kinematics and projectile motion principles
  • Familiarity with the equations of motion, particularly V = U + at and V^2 = U^2 + 2as
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Ability to perform calculations involving gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Learn how to derive projectile motion equations from first principles
  • Explore the concept of maximum height in projectile motion using V^2 = U^2 - 2gh
  • Study the effects of different launch angles on projectile range and height
  • Investigate the impact of air resistance on projectile motion for more advanced scenarios
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in solving projectile motion problems in a practical context.

Jennifer K
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Homework Statement



Hello i'd apprcieate it if someone could help me with this projectile motion problem.

A projectile off mass 33.6 grams is thrown from a height of 1 meter of the ground at an angle of 60 degress, it lands 10 meters away from the point it was thrown.

What is the peak vertical distance?
What is Vi?

Homework Equations



(1) V = U+at^2

(2) s = 1/2 (U+V)t

(3) s = Ut + 1/2 at^2

(4) V^2 = U^2 +2as

The Attempt at a Solution



I tried to do it in two parts:

(1)

U = ViSIN60

V = 0

a = -9.81 m/s^2

s1 = ?

t = ?

(2)

U = 0

V = ?

a = -9.81

Stotal = S1 + 1 meter

t2 = ?

and then for the horizontal:

U = ViCOS60

V = ?

a = 0

S = 10 meters

ttotal = t1 + t2



i'm really stuck if anyone can give me any tips i will really appreciate it. thank youuuuuu :) :) :)

Jenny
 
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The time it took to travel 10 meters is t=10/vcos60. This is the same time it took to reach the max height, h, and fall h+1 meters.
Individually find the time it took the projectile to reach the max height, and then fall h+1 meters. This time is equal to t.
You can use [tex]v^2=u^2-2gh_{max}[/tex] to get the max height.

This should give you enough equations to solve for the variables.
 

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