Homework Clinic
Mathematics Clinic => Grade 9 Mathematics => Topic started by: curlz on Oct 4, 2013
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I dont know how to rearrange, in general, so...
Acceleration= change of speed ÷ time taken
How wud u work out time taken. Thank u n plz explain step by step.
N if possible all the rearrangements in this formula, step by step!!
Thank u. :)
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Just setting each variable to a symbol to represent it so its easier to type.
Acceleration: a
Change in speed: v
Time taken: t
So the original equation is
a=v/t
First you want to get t out of the denominator, this can be done by multipling each side by t resulting in
a(t)=v
The t in the denominator is cancelled out because t/t = 1 and v(1) = v
Next to get the t isolated you will need to divide both sides by a. This will result in
t=v/a
And similar to the step before the a is cancelled on the desired side.
Now the t is isolated this is your final equation.
Time taken = change in speed / acceleration
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Rearranging equations is a skill that you really need to learn.
Acceleration= change of speed ÷ time taken
multiply both sides of the equation by [time taken]
acceleration * time taken = change of speed * time taken ÷ time taken
{But anything divided by itself is just equal to 1}
acceleration * time taken = change of speed * 1
{Multiplying by 1 doesn't change anything}
acceleration * time taken = change of speed
{You normally write this with the single term on the left hand side, so the first rearrangement would be written as:}
change of speed = acceleration * time taken
Same idea again, this time divide both sides by acceleration
change of speed ÷ acceleration = acceleration * time taken ÷ acceleration
change of speed ÷ acceleration = time taken
time taken = change of speed ÷ acceleration
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time will go to LHS & multiply.
so
acceleration x Time =change in speed
now transfr acceleration to RHS.it wil dvid
time=change in speed/acceleration