# Can anybody help me to find acceleration

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< Mentor Note -- poster has been reminded to use the Homework Help Template and show their work next time >

what is the acceleration for this equation Δx=4.0t+3.0t2
and thank you a lot

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cnh1995
Homework Helper
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what is the acceleration for this equation Δx=4.0t+3.0t2
and thank you a lot
Please use proper homework template and show your attempt. It is mandatory when posting on homework help forums.

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and i also think the acceleration is equal to 6 m/s2

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Chestermiller
Mentor
So, are you able to articulate your question?

One hint
What if you made the time interval infinitesimally small?
Wouldn't v=delta x/delta t (t tends to 0) become dx/dt
Do the same thing with the velocity
You should be able to get a=d^2x/dt^2
And yes you get v=4+6t
And a =dv/dt=6

UchihaClan13

Gold Member
Gold Member
but can you me without calculus

Chestermiller
Mentor
but can you me without calculus
If v0 is the initial velocity (at time 0) and a is a constant acceleration, the velocity v at time t is $v=v_0+at$. The average velocity between time 0 and time t is $$v_{ave}=\frac{v_0+v}{2}=v_0+\frac{1}{2}at$$The distance traveled is equal to the average velocity times the time:
$$x=v_{ave}t=v_0t+\frac{1}{2}at^2$$

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then i should do that
1/2a=3
a=6

Chestermiller
Mentor
then i should do that
1/2a=3
a=6
Yes. You were asking for a non-calculus derivation, so this is it.

Gold Member
thank you