Accelerated Motion Chapter 3. Acceleration Definitions of Acceleration.

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Presentation transcript:

Accelerated Motion Chapter 3

Acceleration

Definitions of Acceleration

Simple Case of Accelerated Motion TimeVelocity Velocity Time

Deriving Equations of Motion in One Dimension

One-Dimensional Equations of Motion If we want to find Equation ✕ ✓✓✓ ✓✓✕✓ ✓✕✓✓ ✓✓✓✕

Position with Constant Acceleration Time (s)Position (m)

Derived Velocity with Constant Acceleration So from the position vs. time data we can determine the acceleration.

Displacement of an Object with Constant Acceleration

Constant Acceleration Graphical Example

Activity

An Example of Motion with Constant Acceleration—Free Fall

Apollo 15 – Free Fall on the Moon (1971) Apollo 15 Free Fall

Free Fall Demo MIT Strobe of Falling Ball

Free Fall Example Problem 1 + -

Graphical Analysis 1

Problem Solving Strategy

Simple Example  A car traveling on a straight road at 15 m/s accelerates uniformly to a speed of 21 m/s in 12 seconds. Find the total distance traveled by the car during this 12-second time interval.

Free Fall Example Problem 2 +

Graphical Analysis 2

Example Problems  103. A spaceship far from any star or planet experiences a uniform acceleration from 65.0 m/s to m/s in 10 s. How far does it move?  110. Rocket-powered sleds are used to test the responses of humans to acceleration. Starting from rest, one sled can reach a speed of 444 m/s in 1.80 s and can be brought to a stop in again in 2.15 s.  Calculate the acceleration of the sled when starting and compare it with the magnitude of g.  Calculate the acceleration of the sled when braking and compare it with the magnitude of g.  115. A helicopter is rising at 5.0 m/s when a bag of its cargo is dropped. The bag falls for 2.o s.  What is the bag’s velocity?  How far has the bag fallen?  How far below the helicopter is the bag? Rocket sled video

Measuring Reaction Time Using Free Fall

Human Reaction Time  Human reaction time ranges from 0.1 to 0.5 seconds with a median around 0.215s