How Fast Does a Ball Travel When Dropped from 5 Meters?

In summary, the question asks for the velocity of a ball dropped from a height of 5 meters. The relevant equation is velocity = displacement /time, and the acceleration due to gravity is 9.8m/s. There are multiple ways to approach this problem, including using energy or considering the relationship between acceleration, velocity, and time.
  • #1
hafiz ns
16
0

Homework Statement


A ball is dropped from a height of 5meters
a) what is the velocity of the ball when it reaches the ground ? explain

Homework Equations


velocity = displacement /time

The Attempt at a Solution


the velocity is increasing due the gravitation of Earth (as 9.8m/s) the ball is at a height of 5meter
is there any factor related to this ?
 
Physics news on Phys.org
  • #2
What do you mean "is there any factor related to this?". That IS the factor you want to take into consideration. You have the starting height and you have the acceleration due to gravity. You don't need anything else. Do you understand the equation of ballistic motion in a gravitational field?
 
  • #3
hafiz ns said:

Homework Statement


A ball is dropped from a height of 5meters
a) what is the velocity of the ball when it reaches the ground ? explain

Homework Equations


velocity = displacement /time

The Attempt at a Solution


the velocity is increasing due the gravitation of Earth (as 9.8m/s) the ball is at a height of 5meter
is there any factor related to this ?
Welcome to PF hafiz ns.

There are several ways of approaching this: Using energy, you can determine the speed from the change in potential energy; By finding t first and finding average velocity from your equation (average velocity = displacement/time), then using the relationship between final and average velocities; You could also find t and use the relationship between acceleration, velocity and time.

AM
 
Last edited:
  • #4
hafiz, to answer your question: yes, there is a factor to do with the acceleration. So think about how acceleration affects the velocity of the ball with time.
 
  • #5


I can provide a more detailed explanation for the velocity of a ball dropped from a height of 5 meters. The velocity of the ball can be calculated using the equation v = √(2gh), where v is the velocity, g is the acceleration due to gravity (9.8 m/s²), and h is the height from which the ball is dropped. Therefore, the velocity of the ball when it reaches the ground can be calculated as v = √(2*9.8*5) = √(98) = 9.9 m/s. This means that the ball will be traveling at a speed of 9.9 m/s when it reaches the ground.

There are several factors that can affect the velocity of the ball as it falls. These include air resistance, the shape and size of the ball, and the density and composition of the air through which it is falling. For example, a larger and more aerodynamic ball will experience less air resistance and therefore have a higher velocity when it reaches the ground. Additionally, the acceleration due to gravity may vary slightly depending on the location and altitude where the ball is dropped.

In conclusion, the velocity of a ball dropped from a height of 5 meters can be calculated using the equation v = √(2gh) and will be approximately 9.9 m/s. Various factors such as air resistance and the characteristics of the ball can also affect the velocity of the ball as it falls.
 

FAQ: How Fast Does a Ball Travel When Dropped from 5 Meters?

What is the definition of "ball dropped from a height"?

A ball dropped from a height refers to an object being released from a certain height and falling towards the ground due to the force of gravity.

What factors affect the motion of a ball dropped from a height?

The motion of a ball dropped from a height is affected by the initial height, the mass and size of the ball, air resistance, and the force of gravity.

How does the speed of a ball dropped from a height change during its fall?

The speed of a ball dropped from a height increases as it falls due to the acceleration of gravity. However, air resistance can also affect the speed and cause it to reach a terminal velocity.

What is the relationship between the height and time of a ball dropped from a height?

The relationship between the height and time of a ball dropped from a height can be represented by the equation h = 1/2gt^2, where h is the height, g is the acceleration due to gravity, and t is the time.

How can the motion of a ball dropped from a height be calculated and predicted?

The motion of a ball dropped from a height can be calculated and predicted using equations of motion, such as the distance formula d = v0t + 1/2at^2 and the velocity formula v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time.

Similar threads

Back
Top