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A one euro coin is dropped from the leaning tower of pisa and falls freely from rest. What are its position and velocity after A) 1.0 s B) 2.0 s C) 3.0 s

Sagot :

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Free-fall

Linear motion consists of 2: constant velocity motion with constant velocity and uniformly accelerated motion with constant acceleration .

Free-fall motion is said to have a constant acceleration so that the change in velocity at a certain time interval is constant. By using the free-fall motion formula, the position and the velocity for the coin :

A. 1.0 s : h = 4.9 m , v = 9.8 m/s

B. 2.0 s : h = 19.6 m, v = 19.6 m/s

C. 3.0 s : h = 29.4 m, v = 44.1 m/s

Further explanation  

The motion of a ball dropped at a point is an example of free-fall motion  

Free-fall motion is included in uniformly accelerated motion with constant acceleration. Its acceleration is influenced by Earth's gravity (g=10 m/ s²)  

In this motion, the equation applies  

  • h = vot + 1/2 gt²  
  • vt = vo + gt

The initial speed of the ball when released is 0, so :  

  • vt = gt  
  • h = 1/2 gt²  

h = distance / height  

g = acceleration due to gravity  

t = time  

vt = speed when t seconds  

Given

g = 9.8 m/s²

time : A) 1.0 s B) 2.0 s C) 3.0 s

Required

position and velocity

Solution

  • A. 1.0 s

vt = gt  = 9.8 x 1 = 9.8 m/s

h = 1/2 gt²  = 1/2 x 9.8 x 1² = 4.9 m

  • B. 2.0 s

vt = gt  = 9.8 x 2 = 19.6 m/s

h = 1/2 gt²  = 1/2 x 9.8 x 2² = 19.6 m

  • C. 3.0 s

vt = gt  = 9.8 x 3 = 29.4 m/s

h = 1/2 gt²  = 1/2 x 9.8 x 3² = 44.1 m

 

Learn more  

The velocity of the ball just before it hits the ground : https://brainly.ph/question/519262  

The speed or velocity of the ball when it reaches its maximum height : https://brainly.ph/question/106747  

Graphs of distance vs time : https://brainly.ph/question/512733

 

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