Chapter 3 Lecture (Vectors)

# Chapter 3 Lecture (Vectors) - General Physics I General...

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Unformatted text preview: General Physics I General Physics I Durig Lewis Durig Lewis Example Example A car is traveling at a speed of 60 mph when the driver applies the brakes and decelerates at a rate of 10 mph/s. How long does it take the car to come to rest? Solution Solution v i = 60 mph x - axis a = -10 mph/s v a t ∆ = ∆ 60 10 / mph mph s t-- = ∆ 10 / 60 mph s t mph- ∆ = - 60 10 / mph t mph s- ∆ =- 6 t s ∆ = v f = 0 mph Δ v = v f – v i = 0 – 60 = -60 mph Example Example A car is traveling at a speed of 60 mph when the driver applies the brakes and decelerates at a rate of 10 mph/s. How far does the car travel before it comes to rest? Example Example x - axis Speed Time Distance Traveled = Speed × Time Taken = Area under Graph Example Example Speed Time Distance Traveled = Area under Graph = ½×Height ×Base = ½ × 60 mph × 6 s 1 60 miles = × ×6 s 2 hour 1 60 1609 m = × ×6 s 2 3600 s =80.45 m =80.45 3.281f t =264 f t 1 mile = 1609 m 1 m = 3.281 ft 1 hour = 60 min. = 3600 s The Equations of Motion The Equations of Motion What do we care about knowing? • Position (initial = x , final = x) • Velocity (initial = v , final = v) • Acceleration (a) • Time (initial = 0, final = t) The Equations of Motion The Equations of Motion Change in Velocity Average Acceleration= Time Taken Δv a= Δt v - v a= t at = v - v v = v + at The Equations of Motion The Equations of Motion Speed Time Distance Traveled = Area Under Graph The Equations of Motion The Equations of Motion Speed Time v v - v t 1 2 × t× (v - v ) 1 2 = × t× at 2 1 2 = at = t × v 2 1 2 Total Area= v t + at 2 1 2 Change in Position= v t + at 2 1 2 x - x = v t + at The Equations of Motion The Equations of Motion...
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Chapter 3 Lecture (Vectors) - General Physics I General...

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