Calculating Acceleration and Velocity of a Falling Ball in One Dimension

In summary, the ball is released from a height of 3 meters and bounces back up to a height of 2 meters. The speed of the ball when it meets the ground is sqrt60. The speed of the ball when it leaves the ground is 10. The acceleration of the ball when it meets the ground is (10-sqrt60)/0.02 in the direction upside down.
  • #1
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A ball is released from the height 3 meters and after it hits the floor it reaches the height 2 meter. A) Whats the speed of the ball in the moment when it meets the ground?
My answer : V^2-V0^2=2gs and here we find V=sqrt60.
What is the speed of the ball in the moment it leaves the ground? V2^2-V^2=2gh2 so V2^2- sqrt60=2g*2 and here we find V2=10
c) If the ball meets the ground for 0.02 seconds what's the direction and numerical value of the acceleration? The direction is upside down and a=(10-sqrt60)/0.02 ARE THESE CORRECT?
 
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  • #2
Hi Elaia06! :smile:

(try using the X2 button just above the Reply box :wink:)
Elaia06 said:
A ball is released from the height 3 meters and after it hits the floor it reaches the height 2 meter. A) Whats the speed of the ball in the moment when it meets the ground?
My answer : V^2-V0^2=2gs and here we find V=sqrt60.

fine :smile:
What is the speed of the ball in the moment it leaves the ground? V2^2-V^2=2gh2 so V2^2- sqrt60=2g*2 and here we find V2=10

no, that's a constant acceleration formula, so you can't use it "over the bounce" …

try it with final speed 0 :wink:
 
  • #3
You mean I should correct the third question,not the second one? maybe you did a little mistake over there?
 
  • #4
no i did mean the second question (What is the speed of the ball in the moment it leaves the ground?)
 
  • #5
I attached an image to the reply,it has the formulas for the non constant acceleration..but I don't have the time...
 

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FAQ: Calculating Acceleration and Velocity of a Falling Ball in One Dimension

What is motion in one dimension?

Motion in one dimension is the movement of an object along a single straight line. It is often described using concepts such as position, velocity, and acceleration.

What is the difference between speed and velocity?

Speed is a measure of how fast an object is moving, while velocity is a measure of both speed and direction. This means that an object with a constant speed but changing direction has a changing velocity.

What is displacement?

Displacement is the change in an object's position over a certain period of time. It is a vector quantity, meaning it has both magnitude and direction, and can be positive or negative depending on the direction of the movement.

How is acceleration calculated?

Acceleration is the rate of change of an object's velocity over time. It can be calculated by dividing the change in velocity by the change in time, or by using the equation a = (vf - vi) / t, where vf is final velocity, vi is initial velocity, and t is time.

What is the difference between average and instantaneous acceleration?

Average acceleration is the average rate of change of velocity over a certain period of time, while instantaneous acceleration is the acceleration at a specific moment in time. It is represented by the slope of the velocity vs. time graph at that point.

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