Motion in two dimension problem. Range and Height.

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SUMMARY

The discussion focuses on solving a two-dimensional motion problem involving a rocket launched at a speed of 30.0 m/s at a 40-degree angle. Key calculations include determining the maximum height, total time in the air, and horizontal distance traveled. The participant initially struggled with the problem but ultimately found a solution by breaking the motion into two phases and calculating the x and y components of the motion.

PREREQUISITES
  • Understanding of projectile motion concepts
  • Familiarity with kinematic equations
  • Ability to decompose vectors into components
  • Knowledge of trigonometric functions for angle calculations
NEXT STEPS
  • Study the derivation of kinematic equations for projectile motion
  • Learn how to calculate maximum height and range using component analysis
  • Explore the effects of different launch angles on projectile trajectories
  • Practice solving similar problems using varying initial speeds and angles
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for examples of two-dimensional motion problems.

greg_jones20
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Homework Statement


A rocket is launched from level ground with a speed of 30.0 m/s at an angle of 40 degrees above the horizontal. Find:

a) Maximum height reached by the rocket.
b) The time rocket is in the air.
c) the horizontal distance where the rocket lands.


Homework Equations


V= Vo + at
V^2 = Vo^2 + 2a(X-Xo)
X= Xo +Vo(t) + (1/2)at^2

The Attempt at a Solution



Divided the entire motion into two phases 1st and 2nd, Got x and y components of everything. Can't seem to find the time and final position anyway. I am not allowed to use the direct formula for Range and Height.
Help please!
 
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You'll have to show some of your work so that we'll know where to help. What are your "phases"?
 
Well I meant the two different phases for first and second half part of its motion.

Never mind I figured out how to solve this problem.
Thanks anyway.
 

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