The Acceleration Of Free Fall?

In summary, the conversation involved calculating the time taken by a dart to reach a board and the horizontal velocity at which it left the thrower's hand. The person worked out the vertical acceleration and used the formula v^2=u^2+2ax to find the horizontal velocity. They also considered the acceleration due to gravity on Earth.
  • #1
faisal
46
0
''A DART LEAVES THE THROWER HAND HORIZONTALLY AT A height of 1.9m above the ground, calculate the time taken by the dart to reach the board and the horizontal velocity at which the dart left the throwers hand.''
this is what iv worked out
x-0.4
u-?
v-0
a-0
t-?
i than went onto finding the verticle acceleration
x-0.4, u-?, v-0. a-9.81, t-?
v^2=u^2+2ax
v^2-u^2=2ax
v^2-v^2-u^2=2ax-v^2
u^2=2ax-v^2
-u^2=2ax-v^2
2x9.81x0.4=7.84
i than found the square root of 7.84 however it was wrong, since it was -u^2
 
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  • #2
we are talking on Earth here? if so, what acceleration do we all experience on earth...the acceleration due to __________
 
  • #3
Gravity! :)
 
  • #4
Faiza said:
Gravity! :)

... ;-)
 

What is the acceleration of free fall?

The acceleration of free fall, also known as the acceleration due to gravity, is the rate at which an object falls towards the Earth due to the force of gravity. It is typically denoted by the symbol "g" and has a value of approximately 9.8 meters per second squared.

How is the acceleration of free fall calculated?

The acceleration of free fall can be calculated by dividing the force of gravity acting on an object (its weight) by its mass. This can be expressed mathematically as g = F/m, where g is the acceleration of free fall, F is the force of gravity, and m is the mass of the object.

Does the acceleration of free fall change?

No, the acceleration of free fall remains constant at approximately 9.8 meters per second squared. This is because the force of gravity acting on an object is proportional to its mass, so as the object falls, its mass and weight cancel out, resulting in a constant acceleration.

How does air resistance affect the acceleration of free fall?

Air resistance, or drag, can slow down the acceleration of free fall by opposing the motion of the falling object. This is why objects with a larger surface area, such as a feather, experience more air resistance and fall more slowly than objects with a smaller surface area, such as a bowling ball.

Does the acceleration of free fall differ on other planets?

Yes, the acceleration of free fall can vary on other planets depending on their mass and radius. For example, on the moon, which has less mass and a smaller radius than Earth, the acceleration of free fall is approximately 1.6 meters per second squared. On Jupiter, which has a much larger mass and radius than Earth, the acceleration of free fall is approximately 25 meters per second squared.

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