How Do You Solve These Constant Acceleration Problems?

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SUMMARY

This discussion focuses on solving constant acceleration problems in physics, specifically projectile motion. Key equations include the range formula, displacement equations, and the relationship between initial and final velocities. Participants seek guidance on which equations to apply to various scenarios, such as calculating maximum height, time of flight, and horizontal distance traveled. The conversation emphasizes the importance of breaking down the velocity components and applying the correct formulas for accurate results.

PREREQUISITES
  • Understanding of projectile motion concepts
  • Familiarity with kinematic equations
  • Basic trigonometry for angle calculations
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Study the derivation and application of the range formula for projectile motion
  • Learn how to resolve velocity into horizontal and vertical components
  • Explore the use of kinematic equations in different projectile scenarios
  • Practice solving real-world problems involving constant acceleration
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone looking to improve their problem-solving skills in kinematics.

Meghal
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Hey i do not know how to do ANY of these problems i tried using equations and plugged it in and i don't know how to do it please help...

Homework Statement



1. A golf ball is hit with a velocity of 30 m/s at a 28 Degree angle. what is the max height the ball reaches?


2. A Ball is thrown off a cliff horizontally off a cliff at a velocity of 43 m/s if the ball lands 145m from the base of the cliff how long does it take the ball to reach the ground.


3. A foot ball is projected on a flat surface at a 32 degree angle. If the ball lands 45m from where it started, what is the balls initial velocity

4. A Ball is thrown upward off a cliff at angle of 40degrees horizontally and with a velocity of 35m/s. If it takes 12.5s for the ball to reach the bottom of the cliff, how high is the cliff.

5 A Ball is projected off the top of a 180m high cliff with a velocity of 24 m/s and an angle of 34Degrees. How far from the bottom of the cliff is the ball after 4.2s.


Homework Equations



Equations:

Range = Dx = (initial Velocity)^2 (Sin 2 (theta)) / lgl

d = (initial velocity)(t) + 1/2 (g)(t)^2

d= 1/2 (Initial Velocity + Final Velocity)(t)

Final Velocity = Initial Velocity + g(t)

(Final Velocity)^2 = (Initial velocity)^2 + 2(g)(d)


The Attempt at a Solution




I attempted all the problems but got weird decimal numbers and it didnt LOOK right too much to type for 5 questions... however can someone just tell me which equation to use for each and then if i used it, i will understand if its correct or not... thanks.
 
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1)Take the vertical component of the velocity of the ball. When it reaches the maximum height its final velocity is zero. Use fifth equation from your list to find the maximum height.
2)When a Ball is thrown off a cliff horizontally, its velocity remains constant in that direction. So the distance /velocity will give you the answer.
3)You can use the first formula for this problem.
4. Take vertical component of the velocity, and use second formula with proper sign to initial velocity and g.
5)From the above clues, try to solve this problem.
 

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