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Mathematics 19 Online
OpenStudy (saifoo.khan):

.

OpenStudy (saifoo.khan):

(ii)

OpenStudy (mathmate):

(a) v1=v0+at so t=(v1-v0)/a=(6-3)/0.06=50s

OpenStudy (saifoo.khan):

i got the a and b part. but im stuck with (ii)

OpenStudy (mathmate):

Since I need the distance for (ii), I'll finish (b) v1^2-v0^2=2aS S=(v1^2-v0^2)/(2a) = (6^2-3^2)/(2*.06)= 225m

OpenStudy (saifoo.khan):

i got the (b) correct as well. :)

OpenStudy (mathmate):

(ii) (a) \[Distance = \int\limits vdt = \int\limits_0^{50} kt^2dt = \left[ kt^3/3 \right]_0^{50} = 225\] k=225*3/50^3=0.0054

OpenStudy (saifoo.khan):

i can't get it. =( is there any other way?

OpenStudy (mathmate):

(b) v1=k(50)^2=0.0054*50^2=13.5 m/s

OpenStudy (saifoo.khan):

is there any another way?

OpenStudy (mathmate):

I am not sure what you mean by "not get it". Is it the method, or the calculations?

OpenStudy (saifoo.khan):

method.. is there any another method? where we dont use Calculus?

OpenStudy (mathmate):

In kinematics, there are standard formulas that apply to uniform acceleration, like in part (i). For linear acceleration (v=kt^2, so a=2kt) I haven't seen any. If there is any, they are derived from calculus. Are you not supposed to use calculus for that? If that's the case, I'll try to cook up something.

OpenStudy (saifoo.khan):

Alright. sure. Thanks!! :)

OpenStudy (saifoo.khan):

heading to bed now.. c ya.. tc.

OpenStudy (mathmate):

You're welcome, good night! :)

OpenStudy (saifoo.khan):

same 2 u. thanks.

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