Newton discovered that the falling acceleration of all objects in a vacuum, regardless of their sizes and weights, is the same. A raindrop falls down to earth with the same acceleration as a big metal ball drops from the edge of a building. He came up with the value of 9.8 meters per square second (s2) for the falling acceleration of all objects.

Thus, knowing that the acceleration of an object is the derivative of its velocity, we can conclude that for any object with velocity of v(t), where t is the time for covering the distance,

V '(t) = -9.8 m/s2
1. Using this equation, find the function of the velocity of a raindrop. If you are using integration, how will you determine the value of the constant C in the integral function?
2. A raindrop at rest, in a cloud 7600 meters above earth, starts its journey toward earth. Determine how long it takes the raindrop to reach the ground.
3. Determine its velocity when it reaches the ground.
4. The velocity of a bullet fired from a pistol is about 200 meters per second, which could cause serious injury or even death. Compare the velocity of a raindrop to this velocity. Explain why the raindrop, which has a far greater velocity than a bullet, does not harm us.

...Acceleration is the rate of change of velocity over time ... don't instantly go from one velocity to another, they must accelerate to reach those velocities. ...

... Looking at the definitions you can see that velocity and acceleration are related and it is this connectivity which will allow you to develop graphs of ...

Newton's Law: Force, velocity, acceleration, and reaction. ... The expert examines Newton's law to examines force, velocity, acceleration, and reaction. ...

Determining Velocity, Acceleration and Distance: Car Example. ... Solution provides steps necessary to determine velocity, acceleration and distance. ...

Mechanics - Mass, Velocity, Acceleration. 1. What is the advantage of transferring masses from one side to the other instead of adding masses to one side? ...

Distance vs Time Graph, Velocity, and Acceleration Graphings. ... Either way, a change in velocity is present; hence there is acceleration by definition. ...