# Faster the object from a certain height?

• Lanzzdub
In summary, when a ball is dropped from a height of 100m, it will have a larger velocity and go faster than a ball dropped from 1m. This is because of the constant acceleration due to gravity, which will cause the ball to keep accelerating until it reaches terminal velocity. The velocity of the ball is also affected by drag force and will eventually reach a constant speed. However, acceleration will always stay the same at 9.81m/s.
Lanzzdub
I'm just wondering for instance, if a ball was dropped from a height of 100m, would it have a larger velocity/ go faster than a ball that was dropped from a height of 1m?
Also acceleration would stay the same because of gravity. Yes or No?

Thanks :) !

the ball from 100m would be accelerating at 9.81m/s/s so it will carry on accelerating at this speed until terminal velocity(when drag equals accelerating force) and then hit the ground.
The ball dropped from 1m would accelerate at 9.81m/s/s for only 1 meter.
therefore the ball dropped from 100m will be traveling a lot faster. Think of jumping from a garage roof and then skydiving the sky diver will reach a much higher velocity than if he jumped from a garage roof.
I would do the math for you but I am in a rush.
hope that clears things up.

depends on whether or not that ball reaches terminal velocity by 1m.

for example, if you dropped a feather from 1 m and from 100m, you probably won't sense a difference in final speed right before hitting the ground.

2 formulas normally used to solve a body in a constant acceleration.
$S=S_o+ut+\frac {1}{2}at^2$
$v^2=u^2+2as$

From 2nd. formula,
Velocity is proportional to the root of distant it traveled.
For 1 sec the velocity changes by 9.8m/s
1st. sec 9.8m/s
2nd. sec. 19.6m/s

Yes. Acceleration always stays the same at 9.81m/s.

However, Johnahh brought up an interesting point. Since the drag force is proportional to velocity, there is a certain velocity at which the drag force is equivalent to the force of gravity (mg).

At first, the drag force is not strong enough because the speed is low, but since the force increases as the speed increases, at some speed the net force will be zero.

From Newton's Second Law (Fnet=ma), if a mass has no net force, there will be no acceleration. Thus, the mass will be moving at constant speed.

## What is the formula for calculating the speed of an object from a certain height?

The formula for calculating the speed of an object from a certain height is v = √2gh, where v is the speed, g is the acceleration due to gravity (9.8 m/s²), and h is the height.

## How does the height of an object affect its speed?

The higher the object is dropped from, the faster it will be at impact. This is because the object has more time to accelerate due to gravity as it falls from a greater height.

## What is the difference between speed and velocity when considering an object falling from a certain height?

Speed is the rate at which an object is moving, while velocity is the rate at which an object is moving in a specific direction. When an object falls from a certain height, its speed will increase due to gravity, but its velocity will remain constant as it falls straight down.

## How does air resistance affect the speed of an object falling from a certain height?

Air resistance, also known as drag, can slow down the speed of an object falling from a certain height. This is because the air molecules push against the object, creating a force that opposes the force of gravity. The amount of air resistance depends on the size, shape, and speed of the object.

## Is the acceleration due to gravity the same for all objects, regardless of their weight or mass?

Yes, the acceleration due to gravity is the same for all objects, regardless of their weight or mass. This is known as the principle of equivalence and is a fundamental concept in physics.

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