Rearranging an SUVAT Equation: Solving for Time

In summary, the conversation is about rearranging an equation to solve for a specific variable. The relevant equations are given and the attempt at a solution is mentioned. The conversation ends with gratitude for the help provided.
  • #1
Physics55555
2
0
Hello everyone,

Please can someone help me rearrange this equation to make t the subject:

upload_2016-4-18_18-35-35.png
Relevant equations:
upload_2016-4-18_18-35-45.png
My attempt at a solution:
upload_2016-4-18_18-36-25.png


Thank you all for you help
 
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  • #2
Physics55555 said:
Hello everyone,

Please can someone help me rearrange this equation to make t the subject:

View attachment 99318

Relevant equations:
View attachment 99319
My attempt at a solution:
View attachment 99320

Thank you all for you help
Not such good Algebra.
0.5 is a factor. It's not added or subtracted.

You start with
##s=-\frac12 at^2 ##

Multiply both sides by ##\displaystyle \ -\frac2a\ ##
 
  • #3
You probably should take a few minutes to review basic algebra before going any further with physics. :wink:
 
  • #4
lol, thanks guys. It's been years since I've done this kind of stuff! I've totally forgotten what to do when there's a negative number involved.

Appreciate the help @SammyS and @SteamKing
 
  • #5
Physics55555 said:
lol, thanks guys. It's been years since I've done this kind of stuff! I've totally forgotten what to do when there's a negative number involved.

Appreciate the help @SammyS and @SteamKing
You're welcome.

It's more a matter that the numbers are all multiplied, rather than that there is a negative.
 

FAQ: Rearranging an SUVAT Equation: Solving for Time

1. How do I rearrange a SUVAT equation?

To rearrange a SUVAT equation, you need to isolate the variable you want to solve for on one side of the equation. This can be done by using algebraic manipulations such as adding, subtracting, multiplying, or dividing both sides of the equation by the same number.

2. What is the purpose of rearranging a SUVAT equation?

Rearranging a SUVAT equation allows you to solve for a specific variable in the equation. This is useful in physics and other sciences where you may need to find the value of one variable given the values of the other variables.

3. Can you give an example of rearranging a SUVAT equation?

Sure, let's say we have the equation v = u + at, and we want to solve for acceleration (a). To do this, we can rearrange the equation to a = (v - u) / t. Now we have isolated the variable a on one side of the equation.

4. What is the SUVAT equation used for?

The SUVAT equation is a formula used in physics to describe the motion of an object under constant acceleration. It relates the initial velocity (u), final velocity (v), acceleration (a), displacement (s), and time (t) of an object.

5. Is it important to rearrange a SUVAT equation correctly?

Yes, it is crucial to rearrange a SUVAT equation correctly in order to get the correct solution. Make sure to follow the proper order of operations and use the correct mathematical rules when rearranging the equation.

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