# Homework Help: Can anybody help me to find acceleration

1. Apr 15, 2016

### rashida564

< 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

Last edited by a moderator: Apr 15, 2016
2. Apr 15, 2016

### cnh1995

Please use proper homework template and show your attempt. It is mandatory when posting on homework help forums.

3. Apr 15, 2016

### rashida564

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

4. Apr 15, 2016

### rashida564

5. Apr 15, 2016

### rashida564

6. Apr 15, 2016

### Staff: Mentor

So, are you able to articulate your question?

7. Apr 15, 2016

### UchihaClan13

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

8. Apr 15, 2016

### rashida564

9. Apr 15, 2016

### rashida564

but can you me without calculus

10. Apr 15, 2016

### Staff: Mentor

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:
$$x=v_{ave}t=v_0t+\frac{1}{2}at^2$$

11. Apr 16, 2016

### rashida564

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

12. Apr 16, 2016

### Staff: Mentor

Yes. You were asking for a non-calculus derivation, so this is it.

13. Apr 16, 2016

thank you