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Mathematics: Post your doubts here!

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u=2.5m/s v=1.5m/s s=4m use v^2=u^2+2as v^2-u^2/2s=a=(1.5)^2-(2.5)^2/8=a=-1/2m/s^2
ii) apply newtons 2nd law sum of force in direction of motion-the sum of forces in opposite to motion=mass*acceleration
-mgsinѲ=ma
-m(10sinѲ)=-1/2m
10sinѲ=1/2
sinѲ=1/20
use a=-gsin alpha
its easier. use it for inclined planes. it always works. no need to go through all tht pain ;)
 
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View attachment 48056

part (iii) how to find a??
i replaced but cnt find it using kinematics formulas :S
mark scheme says u= 4/3 but value of k= 4/3 :S
help!!! urgent!!! plz Abdel Moniem
Integrate ∫ (0.04t-0.0001t^2+k)dt set your limits from 400 seconds to 0 seconds
0.04t^2/2-0.0001t^3/3+kx=1600
0.04(400)^2/2-0.0001(400)^3/3+400k=1600
3200/3+400k=1600
3200+1200k=4800
k=4/3
at Maximum speed a=0m/s^2 so differentiate with respect to t
0.04-(2*0.0001t)=0
t=200 seconds
v=0.04t-0.0001t^2+k at t=200 seconds and k=4/3
v=16/3 m/s
 
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Integrate ∫ (0.04t-0.0001t^2+k)dt set your limits from 400 seconds to 0 seconds
0.04t^2/2-0.0001t^3/3+kx=1600
0.04(400)^2/2-0.0001(400)^3/3+400k=1600
3200/3+400k=1600
3200+1200k=4800
k=4/3
at Maximum speed a=0m/s^2 so differentiate with respect to t
0.04-(2*0.0001t)=0
t=200 seconds
v=0.04t-0.0001t^2+k at t=200 seconds and k=4/3
v=16/3 m/s
third part i said. the acceleration only. :S
 
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Cyclist P reached B at speed 5 m/s and travelled a distance from B to C of 1400 m
third part i said. the acceleration only. :S
Cyclist P moves with constant speed of 5 m/s t=1400/5=280 seconds to travel from B to C. at t=400 second the speed of cyclist Q is 4/3m/s this represents the intial velocity. plug that into the equation below
use s=ut+1/2at^2
1400=4/3*280+0.5(280)^2a
 
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Cyclist P reached B at speed 5 m/s and travelled a distance from B to C of 1400 m

Cyclist P moves with constant speed of 5 m/s t=1400/5=280 seconds to travel from B to C. at t=400 second the speed of cyclist Q is 4/3m/s this represents the intial velocity. plug that into the equation below
use s=ut+1/2at^2
1400=4/3*280+0.5(280)^2a
How is speed of cyclist Q 4/3?
 
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