Calculating a Model Rocket's Speed and Altitude Using Acceleration of Gravity

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SUMMARY

The discussion focuses on calculating the maximum altitude and speed of a model rocket launched at an initial velocity of 49 m/s. The relevant equations include kinematic formulas such as v = v0 + at and x = x0 + v0t + 1/2 at^2. The maximum altitude can be determined using the formula x = x0 + v0t - 1/2 * g * t^2, where g is the acceleration due to gravity. The participants clarify the application of these equations to find the rocket's speed and altitude at specific time intervals of 1, 4, and 7 seconds.

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of physics concepts such as velocity and acceleration
  • Familiarity with the acceleration due to gravity (g = 9.81 m/s²)
  • Ability to perform algebraic manipulations
NEXT STEPS
  • Practice solving problems using kinematic equations for different initial velocities
  • Explore the concept of free fall and its effects on projectile motion
  • Learn how to derive maximum height from initial velocity and gravitational acceleration
  • Investigate the impact of air resistance on projectile motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and hobbyists interested in model rocketry and its calculations.

gragsur
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Homework Statement


A model rocket leaves the ground , heading straight up at 49 m/s
a) what is its maximum altitude?
b) what are its speed and altitude at 1,4 & 7 seconds


Homework Equations


v=v0 + at
x= x0 + 1/2 (v0 + v) t
x= x0 + v0t + 1/2 at^2
v^2=v0^2 +2a (x-x0)



The Attempt at a Solution


Am able to work out maximum altitude no problem , for some reason can't get my head around b) ?
 
Physics news on Phys.org
Use the formula
x = xo + volt - 1/2*g*t^2 and find x at given time t.
 

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