How long does it take to reach the ground?

  • Thread starter Lana Elcic
  • Start date
  • Tags
    Ground
In summary, the question asks how long it will take for a ball thrown with an initial speed of 12.5 m/s to hit the ground from the top of a 66 m building. The solution involves using SUVAT equations to calculate the maximum height of the ball and then determining the time it takes for the ball to reach that height again on its way down. This results in an answer of approximately 3.41 seconds.
  • #1
Lana Elcic
40
0

Homework Statement


Standing on the roof of a 66 m tall building, you throw a ball straight up with an initial speed of 12.5 m/s. If the ball misses the building on the way down, how long will it take from you threw the ball until it lands on the ground below? Give your answer in seconds and round the answer to three significant figures.

The Attempt at a Solution


I'm not sure how to answer this. How do I know how high he throws it initially? [/B]
 
Physics news on Phys.org
  • #2
You can calculate the maximum height of the ball using given initial speed.
 
  • #3
C. Lee said:
You can calculate the maximum height of the ball using given initial speed.
You can, but it's just extra work here.

Lana, what equations do you know which may be relevant? Does SUVAT mean anything to you?
 
  • #4
haruspex said:
You can, but it's just extra work here.

Lana, what equations do you know which may be relevant? Does SUVAT mean anything to you?

You are definitely right.
 

Related to How long does it take to reach the ground?

1. How long does it take to reach the ground from a certain height?

The time it takes for an object to reach the ground from a certain height depends on several factors such as the initial height, the gravitational force, and air resistance. In a vacuum, all objects fall at the same rate regardless of their mass, and it takes approximately 4.9 seconds to reach the ground from a height of 100 meters.

2. Does the shape or size of the object affect the time it takes to reach the ground?

The shape and size of an object do not affect the time it takes to reach the ground, as long as air resistance is negligible. In a vacuum, both a feather and a bowling ball would fall at the same rate and take the same amount of time to reach the ground.

3. How does air resistance affect the time it takes to reach the ground?

Air resistance, also known as drag, can significantly affect the time it takes for an object to reach the ground. The larger the surface area of the object, the more air resistance it experiences, and the longer it takes to fall. This is why a feather takes longer to reach the ground than a bowling ball in the presence of air resistance.

4. Is the time it takes to reach the ground the same on other planets?

No, the time it takes to reach the ground on other planets may vary depending on the planet's mass and gravitational force. For example, on Mars, which has a weaker gravitational force than Earth, it would take longer for an object to reach the ground from the same height.

5. Can the time it takes to reach the ground be calculated mathematically?

Yes, the time it takes to reach the ground can be calculated using the equation t = √(2h/g), where t is the time, h is the initial height, and g is the gravitational acceleration. However, this equation assumes a vacuum and negligible air resistance. In real-world scenarios, the time may vary due to the presence of air resistance.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
899
  • Introductory Physics Homework Help
Replies
21
Views
291
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
748
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
12
Views
3K
  • Introductory Physics Homework Help
Replies
10
Views
1K
Back
Top