Graphs of Motion G10 Review.

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Presentation transcript:

Graphs of Motion G10 Review

Look at the cars – what do you notice about their movement?

Velocity vs Time graphs Acceleration is the gradient of a velocity vs time graph. The displacement (distance travelled) is the area between the line (or curve) and the time axis. Velocity

Discuss what the graphs are telling you about the relative movements of the cars? Link this to the motion recorder shown behind the cars.

Discuss what the graphs are telling you about the movement of the ball?

Displacement, velocity and acceleration graphs x The slope of a displacement-time graph represents velocity t v The slope of a velocity-time graph represents acceleration t a t

? ? Graphing position(x), velocity(v), and acceleration(a) Web Links: Graphing position, velocity & acceleration Constant position, velocity & acceleration Examples: Ex 1) t x a v 2m ? Ex 2) t x a v 4m 2s ?

? Ex 3) Web Link: More graphing position,velocity,acceleration x t v 12 m/s “We know the shape of x(t), but how do we find the final position x here? Well, we need the constant acceleration equations…. -> “ 3 s Web Link: More graphing position,velocity,acceleration

x The area under a velocity-time graph represents displacement. Dx t v The area under an acceleration-time graph represents change in velocity. Dv t a Dt t

-6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6 Motion in One Dimension (2048)

-6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6 Motion in One Dimension (2048)

-6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6 Motion in One Dimension (2048)

6 5 4 3 2 1 1 2 4 6 8 10 12 -1 -2 -3 -4 -5 -6 Motion in One Dimension (2048)

6 5 4 3 2 1 1 2 4 6 8 10 12 -1 -2 -3 -4 -5 -6 Motion in One Dimension (2048)

6 5 4 3 2 1 1 2 4 6 8 10 12 -1 -2 -3 -4 -5 -6 Motion in One Dimension (2048)

m 6 5 4 3 2 1 1 2 4 6 8 10 12 -1 s -2 -3 -4 -5 -6 Motion in One Dimension (2048)

6 m 4 2 2 4 6 8 10 12 -2 s -4 -6 2 v 1 t 4 8 12 (s) -1 (m/s) -2 -3 Motion in One Dimension (2048)

6 m 4 2 2 4 6 8 10 12 -2 s -4 -6 2 v +8 m 1 +4 m t 4 8 12 (s) -1 (m/s) -12 m -2 -3 Motion in One Dimension (2048)

4 8 12 16 20 24 28 (s) x 4 8 12 16 20 24 28 (m) 1 2 3 t 5 Motion in One Dimension (2048)

(s) x 4 8 12 16 20 24 28 (m) 1 2 3 t 5 1 2 3 4 5 t (s) 6 8 10 v (m/s) Displacement 25 m Motion in One Dimension (2048)