GRAPHING VELOCITY VS TIME Physics Mr Villa Graphing
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GRAPHING… VELOCITY VS. TIME Physics Mr. Villa
Graphing Linear Motion There are three different types of linear motion graphs that we will by analyzing. �Displacement vs. Time Describes how an objects position is changing over time �Velocity vs. Time Describes how an objects velocity is changing over time
Speed-Time Graphs Imagine a ball rolling along a table, illuminated by a strobe light every second. 0 s 1 s 2 s 3 s 4 s 5 s 6 s 7 s 8 s 9 s 10 s You can plot the ball’s speed as a function of time.
Velocity-Time Graphs A horizontal line on the V-T graph means constant velocity (m/s) + - time (s) Object is moving at a constant velocity 1 cm/s.
Velocity vs. Time The slope of the line at any given point equals the objects acceleration at that point. �Straight flat line → no acceleration (constant speed) �Straight non-flat line → constant acceleration �Curved line → increasing/decreasing acceleration The area under the line equals the displacement of the object up to that point.
Velocity vs. time graph Graphs represent speeds of objects. This graph shows a bus as it travels it’s route. Between what points is the bus accelerating? _____ & ____ Between what points is the bus moving at a constant speed? _____ & _____ Between what points is the bus stopped? _____ Between what points it the bus decelerating? _____
Examples-1 Draw the velocity vs. time graphs for the following: �A car driving down the freeway at 60 mph
Examples-2 Draw the velocity vs. time graphs for the following: �A car speeding up to 40 mph and then running into a telephone pole
Examples-3 Draw the velocity vs. time graphs for the following: �A ball rolling down a hill
Examples-4 Draw the velocity vs. time graphs for the following: �A skydiver right when he jumps out of the plane
Explain each V-T graph Velocity Time
Definition of Acceleration § An acceleration is the change in velocity per unit of time. (A vector quantity. ) Units for acceleration:
Definition of Acceleration § An acceleration is the change in velocity per unit of time. (A vector quantity. ) + t=3 s v 0 = +2 m/s vf = +8 m/s The wind changes the speed of a boat from 2 m/s to 8 m/s in 3 s. Each second the speed changes by 2 m/s.