An object has a constant acceleration of 40 ft/sec2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.
Please help ill give medal

Question

An object has a constant acceleration of 40 ft/sec2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.
Please help ill give medal

nuttyliaczar · Answer

Do you remember the general position function?

anonymous · Answer

d(t)= integral v(t)dt= double integral a(t)?

nuttyliaczar · Answer

That's true but it only helps if you know one of those equations. The position function is:
$$x _{0}+(dx/dt)t+(1/2)(d ^{2}x/dt ^{2})t ^{2}$$
Or as you probably like to remember it:
$$x _{0}+vt+\frac{ at ^{2} }{ 2 }$$

nuttyliaczar · Answer

But do keep in mind what you said too. It saves you the trouble of blindly memorizing three equations, and so you only need one of them to get the other two.

nuttyliaczar · Answer

Do you know what to do now? Because from here you just need to plug it in

anonymous · Answer

Not sure what to plug in

anonymous · Answer

just confused on the steps on how to solve the problem

nuttyliaczar · Answer

x0 is the initial position. v is the initial velocity (in retrospect I forgot to write v0 to be consistent). a is the acceleration. And t is time.

nuttyliaczar · Answer

I think you just need to set up the equation and leave t as is

anonymous · Answer

oh ok thank you

anonymous · Answer

so what would s(t) be or look like?

anonymous · Answer

would it be 10+ (-20)=40(t)^2/2?