Wednesday

July 30, 2014

July 30, 2014

Posted by **ben** on Sunday, September 17, 2006 at 2:29pm.

I got 6 m/s to the right. is this correct?

<< got 6 m/s to the right. is this correct? >>

No. The answer must have dimensions of m/s^2, not m/s.

Is the first variable in parentheses time (t)? If so, the particle moves 2 units to the right in the first second and 6 units to the right (for a total of 8 units) in the second second.

Use the equation:

change in X = (1/2) a t^2

When t = 1 s, X =2m, so

2 = (1/2) a

a = 4 m/s^2 during the first second.

Try convincing yourself that the particle accelerates at the same rate during the time from t=1 to t=2 s

I am assuming that distances are measured in meters.

I'm supposing that the first variable is t and the second is x. If this is correct then

t x

0 -2

1 0

2 6

If the accleration is constant, then we have a second degree equation that looks like

x = ((1/2)a*t^2 + b*t + c

When t=0, x=c=-2 so we have c figured out.

When t=1, (1/2)a*1+b*1-2=0 and

when t=2, (1/2)a*4+b*2-2=6

This is two equations in two unknowns, so if you add -4 times the first to the second you get

-2b+6=6 so b=0

I'll let you figure the constant for a, which happens to be the acceleration too.

You have the direction right, it's positive, but I don't think the magnitude is right.

**Related Questions**

Physics - In the figure, particle A moves along the line y = 26 m with a ...

physics - In the figure, particle A moves along the line y = 29 m with a ...

physics - Particle 1 is moving on the x-axis with an acceleration of 5.55 m/s2 ...

physics - Particle 1 is moving on the x-axis with an acceleration of 5.55 m/s2 ...

Physics - particle A moves along the line y = 30m with a constant velocity of ...

Physics - A particle starts from the origin at t = 0 and moves along the ...

math - A particle is traveling along a one-dimensional path (such as a number ...

Physics - A particle is initially moving along the positive x-axis at a speed of...

Physics - One component of a magnetic field has a magnitude of 0.080 T and ...

Physics - One component of a magnetic field has a magnitude of 0.0445 T and ...