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# M1 Past Paper Problem, Please Try Help Me !! watch

1. HEY GUYS, IM STUCK ON A PAST PAPER QUESTION, BECAUSE MY TEACHERS MARK SCHEME HE GAVE ME IS DEFINATELY WRONG AND ITS CONFUSING ME. ANY HELP WOULD BE GREATLY APPRECIATED, LOTS OF GOOD REP!! THANKS:

6) THE DISPLACEMENT OF A PARTICLE AT TIME t SECONDS AFTER IT PASSES THROUGH A FIXED POINT IS s Metres, WHERE S = 4.8t + 0.06t^2 - 0.004t^3

iii) find the distance travelled by the particle from the point where it reaches its maximum velocity to the point where its velocity is half its' initial velocity.

v=4.8+0.12t-0.012t^2

a=0.12-0.024t

the value of s when a=0 is 25m (occurs at t=5)

2. Which paper is it off?

Oh hang on got it it's Jan O4

When a=0

0.12 -0.024t=0

t= 5s

Just stick 5 back into the first eqn to get...

s=25m

(or that's what my mark scheme says anyway ) Am I answering the question?
3. Where did you get the mark scheme from?
4. My teacher made it! (Ok so it's not really a mark scheme!)
6. initial velocity is when t=0, v=4.8
4.8+0.12t-0.012t²=2.4
0.012t²-0.12t-2.4=0
(0.12t+1.2)(0.1t-2)=0
t≠-10, t=20

When t=20, s=88m

so dist travelled = 88-25=63m

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Updated: June 15, 2005
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