Acceleration of free falling object on planet X

In summary, on planet X, an object is thrown vertically upward with an initial velocity of 5m/s. After 3 seconds, it returns to the point of release. The acceleration of a free falling object on this planet is -1.6m/s^2. The book's answer of -3.3m/s^2 is derived using the time taken for the object to reach its maximum height, which is 1.5 seconds.
  • #1
1irishman
243
0

Homework Statement


While on planet X, an object is thrown vertically upward with an initial velocity of 5m/s. If this object returns to the point of release in 3s, what is the acceleration of a free falling object on this planet?


Homework Equations


a=vf-vi/t


The Attempt at a Solution


0-5/3
= -1.6m/s^2

The answer is -3.3m/s^2 in the book...i don't understand how they arrived at that?
 
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  • #2
Hi 1irishman, welcome to PF.
vf is zero when the object reaches the maximum height.
What is the time taken by the object to reach that point?
 
  • #3
1.5s
 
  • #4
thank you rl...i see now.
 

FAQ: Acceleration of free falling object on planet X

1. What is the acceleration of a free falling object on planet X?

The acceleration of a free falling object on planet X would depend on the gravitational force of the planet. It can be calculated using the formula: a = GM/r^2, where G is the gravitational constant, M is the mass of the planet, and r is the distance between the object and the center of the planet.

2. How does the acceleration of a free falling object on planet X compare to that on Earth?

The acceleration of a free falling object on planet X would vary depending on the mass and size of the planet. If the planet is larger and more massive than Earth, the acceleration would be higher. However, if the planet is smaller and less massive, the acceleration would be lower.

3. Can the acceleration of a free falling object on planet X change?

Yes, the acceleration of a free falling object on planet X can change depending on the altitude of the object. As the object gets closer or farther from the planet's surface, the acceleration would also change.

4. Does air resistance affect the acceleration of a free falling object on planet X?

Air resistance can affect the acceleration of a free falling object on planet X, but it would depend on the density of the planet's atmosphere. If the planet has a denser atmosphere, air resistance would have a greater impact on the acceleration of the object.

5. How is the acceleration of a free falling object on planet X measured?

The acceleration of a free falling object on planet X can be measured using a device called an accelerometer. This device measures the change in velocity of the object over time, which can then be used to calculate the acceleration.

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