Free Fall and gravitational acceleration

In summary, the value of g (m/s^2) can be calculated by using the equation y = 1/2gt^2 and solving for g. In this problem, the ball was dropped from a height of 1.5 y(m) and hit the ground in .54 t(s). By plugging in these values and solving for g, we get a value of approximately 10.29 m/s^2, which is close to the accepted value of 9.8 m/s^2. However, to get a more accurate result, the calculation should be done with more precision, resulting in a value of 10.288 m/s^2.
  • #1
tgilli
2
0

Homework Statement



A ball is dropped from 1.5 y(m) and hits the ground in .54 t(s). What is the value of g (m/s^2)?

The accepted value of g = 9.8m/s^2


Homework Equations


y=1/2gt^2


The Attempt at a Solution



I'm getting this wrong, but this is my attempt.

1.5 = 1/2g x .54^2
1.5 = 1/2 x .292
1.5 = .146
.146 / 1.5 =

10.27 g (m/s^2)

10.27 g (m/s^2) is close, but not correct. The correct answer is 10.29 m/s^2

Clarification would be appreciated.
 
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  • #2
tgilli said:

Homework Statement



A ball is dropped from 1.5 y(m) and hits the ground in .54 t(s). What is the value of g (m/s^2)?

The accepted value of g = 9.8m/s^2


Homework Equations


y=1/2gt^2


The Attempt at a Solution



I'm getting this wrong, but this is my attempt.

1.5 = 1/2g x .54^2
1.5 = 1/2 x .292
1.5 = .146
.146 / 1.5 =

10.27 g (m/s^2)

10.27 g (m/s^2) is close, but not correct. The correct answer is 10.29 m/s^2

Clarification would be appreciated.

Calculate the expression with more precision. I get 10.288
 
  • #3
LowlyPion said:
Calculate the expression with more precision. I get 10.288


Got it and understand. Thanks.
 

Related to Free Fall and gravitational acceleration

1. What is free fall?

Free fall is the motion of an object under the influence of gravity, without any other external forces acting on it.

2. What is gravitational acceleration?

Gravitational acceleration is the acceleration experienced by an object due to the force of gravity. It is a constant value and is approximately 9.8 m/s² on Earth.

3. How is free fall related to gravitational acceleration?

The acceleration of an object in free fall is equal to the acceleration due to gravity. This means that the speed of the object increases by 9.8 m/s² every second.

4. Can the gravitational acceleration of an object change?

No, the gravitational acceleration of an object does not change unless the object is moved to a different location with a different gravitational pull. The value of gravitational acceleration is constant for a given location.

5. Does the mass of an object affect its free fall and gravitational acceleration?

The mass of an object does not affect its free fall or gravitational acceleration. All objects, regardless of their mass, experience the same acceleration due to gravity when in free fall.

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