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.

Answer 1

I found out the first step: Subtracting "ut" from both sides.

Answer 2

@DebbieG

Answer 3

so you have:

d-ut= .5at2 the next step is to divide both sides by .5

Answer 4

what do you get??

Answer 5

Um I get d-ut/.5 = at2

Answer 6

still \(a\) is not free...
isolate it completely

Answer 7

You have to divide t2 to both sides

Answer 8

yup !

Answer 9

But how do I do that since on the other side I have d - ut/.5???

Answer 10

Wait, I looked this up and someone multiplied the other side by 2 instead of dividing by 0.5, I know how they did this. They changed 0.5 to a fraction (5/10) and simplified it to 1/2. So you can divide 1/2 to both sides or multiply 2/1(2) to both sides.

Answer 11

I get it now.

Answer 12

cool :)

Answer 13

so wat do you get in the end

Answer 14

a = 2(d – ut)/t2

Answer 15

Is that correct?

Answer 16

looks perfect ! good job!!

Answer 17

When you multipy the other side by 2, does it look like 2(0.5at^2) ?

Answer 18

@ganeshie8 @greenlegodude57

Answer 19

@lena772 i do not believe so...

Answer 20

Look you have d = ut + 0.5at2
First subtract "ut" from both sides: d - ut = 1/2at2. To get rid of the 1/2(0.5) you have to divide 1/2 to both sides or multiply 2/1(2) to both sides. So 2d - ut = at2. Now for your final step divide "t2" to both sides: 2d - ut/t2 = a.

And you're done!