In physics, if a moving object has a starting position at s 0, an initial velocity of v 0, and a constant acceleration a, then the position S at any time t 0 is given by:

S = at 2 + v 0 t + s 0.

Solve for the acceleration, a, in terms of the other variables. For this assessment item, you can use ^ to show exponents and type your answer in the answer box, or you may choose to write your answer on paper and upload it.

Question

In physics, if a moving object has a starting position at s 0, an initial velocity of v 0, and a constant acceleration a, then the position S at any time t > 0 is given by:

S =  at 2 + v 0 t + s 0.

Solve for the acceleration, a, in terms of the other variables. For this assessment item, you can use ^ to show exponents and type your answer in the answer box, or you may choose to write your answer on paper and upload it.

sooobored · Answer

shouldnt it be $$\frac{1}{2} a t^2$$

fran345 · Answer

yeah, I forgot to add that

sooobored · Answer

well, the equation is already given,
s0 is given
v0 is given
a great start would be substituting those value into the equation

sooobored · Answer

so the resulting equation would be?

fran345 · Answer

So it's S=1/2at^2+v0+s0?

sooobored · Answer

no, s0= 0 and v0 = 0, as stated in your problem

fran345 · Answer

so I drop the v and s? I'm confused?

sooobored · Answer

so you substitute the value zero, into the equation for v0 and s0
$$S = \frac{1}{2}at ^2 + 0 t +0.$$

sooobored · Answer

and since zero is zero, you can just ignore them and you get the equation

$$S=\frac{1}{2}at^2$$

sooobored · Answer

now since the problem just wants you to solve for "a" in terms of the other variables

fran345 · Answer

would it be a=2s/t^2