Acceleration and Moving Objects

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SUMMARY

The discussion centers on the physics of a boulder ejected from a volcano with an initial speed of 40.1 m/s. The key calculations involve determining the time at which the boulder reaches specific velocities (19.2 m/s upward and downward), the moments when its displacement is zero, and when its velocity becomes zero, all while considering gravitational acceleration (g = 9.80 m/s²). The participants clarify that the magnitude of acceleration remains constant at 9.80 m/s² regardless of the boulder's direction of motion, and the acceleration direction is always downward due to gravity.

PREREQUISITES
  • Understanding of kinematic equations, specifically V = Vo + at
  • Knowledge of gravitational acceleration (g = 9.80 m/s²)
  • Familiarity with concepts of velocity and displacement in physics
  • Basic principles of projectile motion
NEXT STEPS
  • Study kinematic equations in detail, focusing on their applications in vertical motion
  • Explore the concept of free fall and its implications on acceleration
  • Learn about the effects of air resistance on projectile motion
  • Investigate the relationship between velocity, acceleration, and displacement in physics
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the dynamics of projectile motion and gravitational effects.

Soaring Crane
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A large boulder is ejected vertically upward from a volcano with an initial speed of 40.1 m/s. (Air resistance can be ignored.)

a) At what time after being ejected is the boulder moving at 19.2 m/s upward? (g = 9.80 m/s^2)
b) At what time is it moving at 19.2 m/s downward? (g = 9.80 m/s^2)
c) When is the displacement of the boulder from its initial position zero? g = 9.80 m/s^2
d) When is the velocity of the boulder zero? g = 9.80 m/s^2

I did and understand these four parts. Now the following two parts are the ones I do not understand.


e) What is the magnitude of the acceleration while the boulder is moving? (Take g = 9.80 m/s^2 for free fall acceleration)

Well, the boulder can move up or down, but is the magnitude 9.80 m/s^2 for both scenarios?

f. What is the direction, up or down, of the acceleration while the boulder is moving?

Won't the direction be down?

Thanks for any help.
 
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Yep you have that question licked it seems.
 
Let me try to help. For (a) I think you need something similar to V=Vo+at
 

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