physics,maths (question) (1 Viewer)

[Hehe]

For physics the gradient is the acceleration, but for maths the 1st derivative is to find the gradient but it is velocity and the second derivative to find accerlation how is this possible ?????

 

[evilc]

For the acceleration, you must be looking at VELOCITY vs TIME graphs..... VELOCITY is the gradient (ie first derivative) of a DISPLACEMENT versus TIME graph and acceleration is the second derivative of a DISPLACEMENT versus TIME graph, so it follows that ACCELERATION is the first derivative of a VELOCITY versus TIME graph

hope that helps

 

[Hehe]

thanx it helped alot

 

[evilc]

You're welcome....I thought my wording may have been confusing...i have trouble explaining things.

 

[...]

the gradient is the change of the 'x'

hence dx

so yea, change of velocity = accerleration

if its displacement, then d(displacement)=velocity

 

[Rahul]

x=displacement/distance
v=velocity=dx/dt
a=acceleration=dv/dt=d/dx(v²/2)=v.dv/dx

now the graph that you were referering to [in physics] would be either V vs T or V vs X. so when you differentiate that, you get acceleration.

 

[...]

u'll learn the details in 2u/3u maths...

those details are summarised in Rahul's post