Acceleration and Moving Objects

  • Thread starter Soaring Crane
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We have V=40.1, Vo=0 a=-9.8 and we are looking for t.In summary, a boulder is ejected vertically upward from a volcano with an initial speed of 40.1 m/s, ignoring air resistance. After being ejected, it moves at 19.2 m/s upward at a certain time and at 19.2 m/s downward at a different time. The displacement of the boulder from its initial position is zero at another time and the velocity is also zero at yet another time. The magnitude of acceleration while the boulder is moving can be calculated using the free fall acceleration of 9.80 m/s^2 and the direction of acceleration is downwards.
  • #1
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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  • #2
Yep you have that question licked it seems.
 
  • #3
Let me try to help. For (a) I think you need something similar to V=Vo+at
 

1. What is acceleration?

Acceleration is the rate at which the velocity of an object changes over time. It is a vector quantity, meaning it has both magnitude and direction.

2. How is acceleration calculated?

Acceleration is calculated by dividing the change in an object's velocity by the time it takes for that change to occur. The formula for acceleration is a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. What is the difference between acceleration and velocity?

Velocity is a measure of how fast an object is moving and in what direction, while acceleration is a measure of how quickly an object's velocity is changing. Velocity is a scalar quantity, meaning it only has magnitude, while acceleration is a vector quantity.

4. How does mass affect acceleration?

The mass of an object does not directly affect its acceleration. However, the force applied to an object and its mass do affect its acceleration. The greater the force applied or the smaller the mass, the greater the acceleration will be.

5. What is the difference between positive and negative acceleration?

Positive acceleration occurs when an object's velocity is increasing, while negative acceleration (also known as deceleration or retardation) occurs when an object's velocity is decreasing. This can also be thought of as acceleration in the direction of motion (positive) or in the opposite direction (negative).

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