If you have a vector function that describes the position of a particle, you can use GeoGebra
to calculate its velocity vector, its speed, its acceleration vector, and its acceleration.
GeoGebra
Instruction 1
Assume you have a vector function that describes the position of some object.
Open View
and select CAS
.
GeoGebra
doesn’t allow you to use the letters and as names for functions, so give them other names. Derivative(<Expression>)
and then enter the name of . Press Enter
. You get the -coordinate of the velocity vector. Derivative(<Expression>)
and then enter the name of . Press Enter
. You get the -coordinate of the velocity vector.
sqrt(<x-coordinate of the velocity vector n>^
2
+ <y-coordinate of the velocity vector>^
2)
Enter
. You get the function for the speed.
Derivative(<expression>)
, and then enter the expression you have for the -coordinate of the velocity vector. Press Enter
. You get the -coordinate of the acceleration vector. Derivative(<expression>)
, and enter the expression you have for the -coordinate of the velocity vector. Press Enter
. You now get the -coordinate of the acceleration vector .
sqrt(<x-coordinate of acceleration vector>^
2
+ <y-coordinate of acceleration vector>^
2)
Enter
. You now get the acceleration .