Unformatted text preview: s+(2.2 m/s)(t / s)
Physics for Scientists&Engineers 1 12 Physics for Scientists&Engineers 1 E x a m p le : V e lo c it y ( 2 )
! Graph of x(t ) = 17.2 m ! (10.1 m)(t / s)+(1.1 m)(t /s)2 and
v(t ) = !10.1 m/s+(2.2 m/s)(t / s) Speed
! Speed is the absolute value of the velocity vector ! Velocity is a vector, speed a scalar! ! Relationship to distance:
v = speed = !x ! = !t !t ! Note: position at minimum where velocity is zero!
• E x p e c te d fr o m c a lc u lu s
August 31, 2006 Physics for Scientists&Engineers 1 13 August 31, 2006 Physics for Scientists&Engineers 1 14 E x a m p le : S w im m in g la p s ( 1 )
! Suppose a swimmer swims the first 50 m of the 100 m freestyle in 38.2 seconds. Once she reaches the far side of the pool, she turns around and swims back to the start in 42.5 seconds. ! Question: What is the average velocity and speed for the leg from start to the far side of the pool, for the return leg, and for the total trip? E x a m p le : S w im m in g la p s ( 2 )
! First Leg: • Swimmer s...
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