Graphs of Linear Motion

Graph of d vs. t Dx Slope = velocity Dt

Slope = instantaneous velocity Graph of d vs. t Tangent line Slope = instantaneous velocity xo

Velocity vs. Time Graph Dv = 4 Dt = 2 Slope = acceleration vo

Area under v vs. t Area = ½ (at) t= ½ at2 Area = vot

Moving From Graph To Graph Slope Slope of x vs. t v Slope of v vs. t a Area Area of v vs. t x Area of a vs. t v

Problem #3 What is the distance covered from 0 to 10 seconds? What is the acceleration at 7 seconds?

Problem #4 What is the distance covered from 0 to 6 seconds? What is the displacement at 6 seconds if xo=0?