Selected: Edexcel A Level Maths - Pure Maths
AS & A2 (Whole Course) - All Questions - Casio fx-991EX
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AS & A2 (Whole Course) - All Questions - Casio fx-991EX
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Investigate Motion Calculus
If $\color{blue}{ s }$ represents the position ("displacement") of an object at time $\color{black}{ t }$ then
$\color{green}{ \large { v = { {ds} \over {dt} } } }$ represents its velocity and
$\color{red}{ \large { a = { {dv} \over {dt} } = { { {d^2} s } \over { d {t^2} } } } }$ represents its acceleration.
This display allows you to investigate corresponding displacement, velocity and acceleration; lined up with a red glider which you can drag.
The initial example is $\color{blue}{ s = {t^3} - 3 \, {t^2} + 7 }$. At what times are the velocity and acceleration zero.
$\color{green}{ \large { v = { {ds} \over {dt} } } }$ represents its velocity and
$\color{red}{ \large { a = { {dv} \over {dt} } = { { {d^2} s } \over { d {t^2} } } } }$ represents its acceleration.
This display allows you to investigate corresponding displacement, velocity and acceleration; lined up with a red glider which you can drag.
The initial example is $\color{blue}{ s = {t^3} - 3 \, {t^2} + 7 }$. At what times are the velocity and acceleration zero.