After what time interval does the ball strike the ground

In summary, when a ball is thrown downward with an initial speed of 8m/s from a height of 30m, it will strike the ground after a time interval. The equation to use in this situation is d= (1/2)gt2+ v0t, where v0 is negative. As for the second problem, the given information is unclear and there seems to be two different questions.
  • #1
012435
8
0

Homework Statement


A ball is thrown downward with initial speed of 8m/s from a height of 30m.

Homework Equations


\After what time interval does the ball strike the ground



The Attempt at a Solution



acceleration will equal -9.8m/s^2 because it's free fall
would i use equation V=Vo-gt










constant speed of a horse is 10m/s. distance from limb to saddle is 3m

A) find horizontal distance between saddle and limb?
B) for what time interval is he in the air?

Attempted solution:
X=Xo+Vo(t)+V2(a)(t^2)
what equation do you use to find the time ... Yf=Yi+Vi(t)+1/2g(t^2) and rearange it to
 
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  • #2
I'm confused. There seems to be two questions... one about a ball... about about a horse and saddle?
 
  • #3
sorry. it's two different problems
 
  • #4
012435 said:
sorry. it's two different problems

This is the right equation to use for the first problem:

Yf=Yi+Vi(t)+1/2g(t^2)

but you need to be careful about directions and signs... you've taken downwards as positive here...
 
  • #5
012435 said:

Homework Statement


A ball is thrown downward with initial speed of 8m/s from a height of 30m.

Homework Equations


\After what time interval does the ball strike the ground



The Attempt at a Solution



acceleration will equal -9.8m/s^2 because it's free fall
would i use equation V=Vo-gt
Since you are NOT given the time but ARE given a distance, it would be better to use a distance formula: d= (1/2)gt2+ v0t. Donht forget that v0 is negative.








constant speed of a horse is 10m/s. distance from limb to saddle is 3m

A) find horizontal distance between saddle and limb?
B) for what time interval is he in the air?

Attempted solution:
X=Xo+Vo(t)+V2(a)(t^2)
what equation do you use to find the time ... Yf=Yi+Vi(t)+1/2g(t^2) and rearange it to
This makes no sense to me at all. What does the "distance from saddle to limb" . At some paces some horses can go 10m/s while always having at least one foot on the ground- they are never "in the air".

And what "limb"? A foreleg? Or is this a limb of a tree? Did you leave something out? is the horse jumping over a limb?
 
  • #6
HallsofIvy said:
Since you are NOT given the time but ARE given a distance, it would be better to use a distance formula: d= (1/2)gt2+ v0t. Donht forget that v0 is negative.

yea i would use this formula
 

1. What is the formula for calculating the time interval for a ball to strike the ground?

The formula for calculating the time interval for a ball to strike the ground is t = √(2h/g), where t is the time interval, h is the height from which the ball is dropped, and g is the acceleration due to gravity (9.8 m/s²).

2. Does the mass of the ball affect the time interval for it to strike the ground?

No, the mass of the ball does not affect the time interval for it to strike the ground. The only factors that affect the time interval are the initial height and the acceleration due to gravity.

3. How does air resistance impact the time interval for a ball to strike the ground?

Air resistance does not have a significant impact on the time interval for a ball to strike the ground. It may slightly slow down the ball's descent, but it is usually negligible in most cases.

4. What units should be used for the time interval when calculating the ball's descent?

The units for the time interval should be in seconds (s). This is because the formula for calculating time (t) uses the units of meters per second squared (m/s²) for acceleration due to gravity.

5. Can the time interval for a ball to strike the ground be negative?

No, the time interval for a ball to strike the ground cannot be negative. The formula for calculating time only produces positive values, and time is always measured in the positive direction.

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