- #1

- 343

- 0

## Main Question or Discussion Point

Hey everyone,

THIS IS NOT A HOMEWORK QUESTION. This is a question I think I know the answer to but I want to see what you get to check my answer. Here is the setting. You take an object up into the atmosphere. Far enough away so that the acceleration do to gravity of the earth is 1 m/s^2. From that point, you throw the object down with an initial velocity of 10 m/s. I want to know the final velocity of the object when it touches the earth (when a=g=9.8m/s^2) and how long it took for the object to fall that distance. Since the acceleration is changing you will need to use somehow incorporate that into your equation because acceleration isn't constant. This throws out conventional kinematics like d=vt+.5at^2. Assume there is no air friction.

[itex]

a_0 = 1m/s^2

[/itex]

[itex]

r_0= 19954924.2m/s

[/itex]

[itex]

r_f= 6380000m

[/itex]

[itex]

v_0= 10m/s

[/itex]

[itex]

M=M_E= 5.97E24 kg

[/itex]

This is what I get for answers

[itex]

v_f= 9215.1m/s

[/itex]

and

[itex]

t= 2943.1 seconds

[/itex]

Thanks

THIS IS NOT A HOMEWORK QUESTION. This is a question I think I know the answer to but I want to see what you get to check my answer. Here is the setting. You take an object up into the atmosphere. Far enough away so that the acceleration do to gravity of the earth is 1 m/s^2. From that point, you throw the object down with an initial velocity of 10 m/s. I want to know the final velocity of the object when it touches the earth (when a=g=9.8m/s^2) and how long it took for the object to fall that distance. Since the acceleration is changing you will need to use somehow incorporate that into your equation because acceleration isn't constant. This throws out conventional kinematics like d=vt+.5at^2. Assume there is no air friction.

[itex]

a_0 = 1m/s^2

[/itex]

[itex]

r_0= 19954924.2m/s

[/itex]

[itex]

r_f= 6380000m

[/itex]

[itex]

v_0= 10m/s

[/itex]

[itex]

M=M_E= 5.97E24 kg

[/itex]

This is what I get for answers

[itex]

v_f= 9215.1m/s

[/itex]

and

[itex]

t= 2943.1 seconds

[/itex]

Thanks