Horizontal Acceleration of a Stone

In summary, the stone is thrown horizontally from a cliff and lands 22 m from the foot of the cliff. The vertical forces acting on it are only gravity with a velocity of 9.8 m/s and there are no horizontal forces (excluding wind resistance). Therefore, the horizontal acceleration is 0 m/s2 and the vertical acceleration is 9.8 m/s2 due to gravity.
  • #1
Hannah1
47
0

Homework Statement



A stone is thrown horizontally from a cliff 25 m high and lands on the ground 22 m from the foot of the cliff. What is the horizontal acceleration on the stone?


Homework Equations



a = Δv/Δt = (vfinal - vinitial) / (tfinal - tinitial)


The Attempt at a Solution



? I don't know where to start! Please help!
 
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  • #2
The key word is "horizontal" acceleration [okay, two words]. Once the stone is tossed, what forces are acting on it? What vertical forces? What horizontal forces?
 
  • #3
lewando said:
The key word is "horizontal" acceleration [okay, two words]. Once the stone is tossed, what forces are acting on it? What vertical forces? What horizontal forces?

The vertical forces are gravity which has a velocity of 9.8 m/s.
I don't think there are any horizontal forces (if you exclude wind resistance).

So is the horizontal acceleration 0 m/s2?
 
  • #4
Good.
 
  • #5
lewando said:
Good.

Thank you for helping me.
How would you recommend finding the vertical acceleration of a problem like this?

Would it just be 9.8 m/s2?
 
  • #6
That is the magnitude of acceleration due to gravity, near the surface of Earth. It is in the down direction.
 

1. What is horizontal acceleration?

Horizontal acceleration is the rate of change of an object's velocity in the horizontal direction. It is a measure of how quickly the object's horizontal speed is changing.

2. How is horizontal acceleration calculated?

Horizontal acceleration can be calculated by dividing the change in horizontal velocity by the change in time. This can be represented by the equation ax = (vfx - vix) / t, where ax is the horizontal acceleration, vfx is the final horizontal velocity, vix is the initial horizontal velocity, and t is the change in time.

3. Can horizontal acceleration be negative?

Yes, horizontal acceleration can be negative if the object is slowing down in the horizontal direction. This means that the change in horizontal velocity is negative, resulting in a negative value for horizontal acceleration.

4. How does horizontal acceleration affect the motion of a stone?

Horizontal acceleration affects the motion of a stone by changing its horizontal velocity. If the horizontal acceleration is positive, the stone's horizontal velocity will increase, causing it to move faster in the horizontal direction. If the horizontal acceleration is negative, the stone's horizontal velocity will decrease, causing it to slow down in the horizontal direction.

5. What factors can affect the horizontal acceleration of a stone?

The horizontal acceleration of a stone can be affected by factors such as the force acting on the stone, the mass of the stone, and the surface on which the stone is moving. Other factors such as air resistance or friction can also impact the horizontal acceleration of a stone.

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