Velocity of a ball (kg) droped from height (m)

In summary, a ball of mass 0.5kg dropped from a height of 5m will have a maximum velocity of approximately 9.9m/s just before hitting the ground. This can be solved using the energy approach or by using the kinematics equations for displacement, initial velocity, and acceleration.
  • #1
Pippa9
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Homework Statement



A ball of mass 0.5kg is dropped from a height of 5m what is the greatest velocity it will have just before hitting the ground?

Homework Equations



f=m*g
a= change in velocity/change in time


The Attempt at a Solution


m=.5kg
h=5m
a=9.8m/s

f=m*g
f= .5*9.8= 4.9N

I don't know what other equations to use to find velocity
 
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  • #2
You can solve this one of two ways:

Energy approach: Energy at highest point is equal to the kinetic energy at the lowest point, since all potential energy is converted to kinetic as the ball is about to hit the ground.

Kinematics approach: Use the time independent kinematics equation.

Post if you need more specific guidance, because this is a relatively simple problem.
 
  • #3
You can also use these equations together to solve:
[itex]d=0.5at[/itex]2[itex]+v_{i}t+d_{i}[/itex]
[itex]a=\frac{Δv}{Δt}[/itex].
 
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FAQ: Velocity of a ball (kg) droped from height (m)

What is the formula for calculating the velocity of a ball dropped from a certain height?

The formula for calculating velocity is v = √2gh, where v is the velocity in meters per second (m/s), g is the acceleration due to gravity (9.8 m/s²), and h is the height in meters (m).

How does the mass of the ball affect its velocity when dropped from a certain height?

The mass of the ball does not affect its velocity when dropped from a certain height. The only factors that affect the velocity are the height from which it is dropped and the acceleration due to gravity.

What is the maximum velocity of a ball when dropped from a certain height?

The maximum velocity of a ball when dropped from a certain height is when it reaches the ground. This is because the velocity increases as the ball falls due to the acceleration from gravity until it reaches its maximum velocity at impact.

Can the velocity of a ball be negative when dropped from a certain height?

Yes, the velocity of a ball can be negative when dropped from a certain height. This happens when the ball is thrown upwards with an initial velocity and then falls back down. In this case, the velocity will be negative during the downward motion.

Does air resistance affect the velocity of a ball when dropped from a certain height?

Yes, air resistance does affect the velocity of a ball when dropped from a certain height. As the ball falls, it will experience air resistance which will slow it down. However, this effect is usually negligible for small objects such as balls and can be ignored in most cases.

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