Linear Motion. Displacement The change in position for a given time interval.

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Presentation transcript:

Linear Motion

Displacement The change in position for a given time interval

Average Velocity

Average Acceleration

Constant Speed

Constant Acceleration

Problem #1 A car starts from rest and accelerates at 2 m/s 2 for 8 seconds. a)What distance did the car cover in the 8 second interval? b)What is the final speed of the car after the 8 seconds? c)What is the average speed of the car over the 8 seconds?

a) b) c) Note that the average speed is equal to the average of the initial and final speeds.

Problem #2 A boat is 800 m from a dock. The boat can accelerate at a constant –0.5 m/s 2. If the boat is traveling at 12 m/s at what distance from the dock should the boat start slowing so it will come to a stop at the dock? This problem involves two separate linear motions. Part I – constant speed Part II – constant acceleration To answer the question you only need to look at Part II

Alternate solution: a)

Free Fall Linear motion due to the force of gravity. Constant acceleration = m/s 2 No new equations!

Problem #3 A student throws a ball upward at 15 m/s. The ball leaves the student’s hand at 1.5 m above the ground. What is the maximum height the ball reaches above the ground?