1. The distance traveled by an object can be modeled by the equation d = ut + 0.5at2 where d = distance, u = initial velocity, t = time, and a = acceleration. Solve this formula for a. Show all steps in your work.\

Question

1.	The distance traveled by an object can be modeled by the equation d = ut + 0.5at2 where d = distance, u = initial velocity, t = time, and a = acceleration. Solve this formula for a. Show all steps in your work.\

the_fizicx99 · Answer

$\ \sf d = ut + \dfrac{1}{2}at^2 $

What they mean by  "Solve this formula for a"  is to isolate a such that "a" = something

Start by doing the inverse of everything, subtract ut from both sides; $\ \sf d - ut = \cancel{ut} - \cancel{ut} + \dfrac{1}{2}at^2 \implies d - ut = \dfrac{1}{2}at^2$

Any ideas on how to continue on your own?

anonymous · Answer

multiply 1/2 by each side?

the_fizicx99 · Answer

No, keep in mind you're already multiplying. so you would do the inverse of that, which is division

the_fizicx99 · Answer

1/2 = 0.5

d - ut = 0.5at^2, does that help?

anonymous · Answer

okay ,so divide that by each side?

the_fizicx99 · Answer

Yeah.

|dw:1409177407771:dw|

Therefore, 2(d - ut) = at^2.

Solve for "a" by doing the inverse and dividing.