NDLI: Object in Free Fall Example # 2

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Displacement, Velocity and Acceleration

One-Dimensional Motion

Motion under Constant Acceleration Equations

Uniform Acceleration Example # 1

Uniform Acceleration Example # 2

Uniform Acceleration Example # 3

Derivation of Kinematics Equations Using Calculus

Objects in Free Fall

Object in Free Fall Example # 1

Object in Free Fall Example # 2

Object in Free Fall Example # 3

Object in Free Fall Example # 4

Nonuniform Acceleration Example using Calculus

Scalars and Vectors

Two-Dimensional Motion and Relative Velocity

Object in Free Fall Example # 2

Content Provider	AK Lectures
Description	Lets suppose that a ball is thrown vertically upward from the ground with an initial velocity of 15.0 meters per second. We are making the assumption that there is no air resistance and so our acceleration due to gravity is 9.80 meters per second second. Since our acceleration is constant, we can use one of the kinematics equations to determine the time it takes for our object to reach a vertical height of 9.0 meters. We need to choose the equation that contains one unknown variable, namely the time variable. We basically plug in our known parameters and solve for the time variable. Notice that because we are dealing with a quadratic equation, we must utilize the quadratic formula to solve for our variable, which means we will obtain two answers. The question is, which one of these is the correct answer? It turns out that both of these solutions are correct. Recall that our object is launched vertically upward, reaches the 9 meter mark and continues until it reaches the maximum height. At the maximum point, its velocity will change directions and the object will begin traveling downward, which means that eventually it will pass the 9.0 meter mark once more. Therefore, the smaller time value obtained from the quadratic equation represents the moment the ball hits the 9 meter mark as it is traveling upward. The second time value represents the moment the ball passes the 9 meter mark as it is moving downward.
Language	English
Access Restriction	Open
Subject Keyword	Classical Physics directions gravity answers assumption formula plug time value parameters
Content Type	Video
Educational Role	Teacher Student
Educational Use	Self Learning Lecture Reading
Resource Type	Video Lecture
Education Level	Under Graduate
Subject	Classical mechanics; solid mechanics

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