Kinematics, volcano eruption speed problem

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SUMMARY

The discussion focuses on solving a kinematics problem involving a volcano that launches a lava bomb with an initial speed of 28 m/s. The key calculations involve determining the speed and direction of the lava bomb at 2.0 seconds and 3.0 seconds after launch, factoring in gravitational acceleration. The relevant formula for instantaneous velocity is derived from the known initial velocity, acceleration due to gravity, and time. The confusion regarding the inclusion of gravitational acceleration is clarified, emphasizing its necessity in solving the problem.

PREREQUISITES
  • Understanding of kinematic equations, specifically for uniformly accelerated motion.
  • Knowledge of gravitational acceleration, typically -9.81 m/s².
  • Familiarity with the concept of initial velocity in projectile motion.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Study the kinematic equation: v = u + at, where v is final velocity, u is initial velocity, a is acceleration, and t is time.
  • Learn how to apply gravitational acceleration in projectile motion problems.
  • Explore examples of vertical motion problems to reinforce understanding of direction and speed calculations.
  • Practice solving similar problems involving different initial velocities and time intervals.
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators seeking to clarify projectile motion concepts for their learners.

rsfancy
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A volcano launches a lava bomb straight upward with an initial speed of 28 m/s.

a)Taking upward to be the positive direction, find the speed of the lava bomb 2.0 seconds after it is launched.

b)Taking upward to be the positive direction, find the direction of motion of the lava bomb 2.0 seconds after it is launched.
Upward or Downward?

c)Taking upward to be the positive direction, find the speed of the lava bomb 3.0 seconds after it is launched.

d)Taking upward to be the positive direction, find the direction of motion of the lava bomb 2.0 seconds after it is launched.
Upward or Downward?


I know this stuff is pretty basic, but my prof. won't explain or give us examples of anything,so I'm really confused. Anything to point me in the right direction would be helpful. Thank you.
 
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I'm going to specifically talk about part a, and then after you understand part a, the rest should be easy.

Ok, you have 3 knowns and you are searching for 1 unknown. Your knowns include: initial velocity, acceleration and time. Your unknown is the instantaneous velocity at a specified time. Now, what formula matches your knowns and unknown?
 
Wow, thank you very much. That definitely helped me see what was going on. I did get confused at first when you said that acceleration was known, and I did figure it would be gravity but the problem didnt explicitly state we should take into consideration, and I thought it would if we were meant to, as it did with the previous problems and that was my single problem with all of this...I can't even begin to explain how retarded I feel.

Thanks a lot for your help!
 

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