Check for Understanding 1

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Presentation transcript:

Check for Understanding 1 An object accelerates uniformly. It moves from rest and travels a distance of 4 m in one second. Where is the object located after two seconds? 8m b) 16 m c) 32 m d) 64 m x=vit+1/2at2 4=0(1)+1/2a(1)2 a=8m/s2 x=vit+1/2at2 x=0(2)+1/2(8)(2)2 x= 16 m

Check for Understanding 2 A marathon runner accelerates uniformly from a velocity of 3 m/s to 6 m/s over a distance of 20 m. How long did it take for her to run the 20 m? Vf2=vi2+2ax 62=32+2a(20) 27=40a a=0.675 m/s2 x=vit+1/2at2 20=0(t)+1/2(0.675)t2 t=7.7s

Check for Understanding The following equations give the velocity v(t) of a particle in four situations: v=3 V=4t2 + 2t V=3t-4 V=5t2-3 To which of these situations do the equations of kinematics apply? A and C Find the derivatives a=dv/dt and see which acceleration functions are constant

The UAM Chase Problem James Bond is racing Forest Gump. After the race begins, it takes Forrest 3 s to remove his metal braces before he starts running. If Gump accelerates with a constant 3 m/s2 once he begins to run and Bond accelerates with a constant 1.5 m/s2 , what will be the difference in their speeds when Forrest passes Bond?