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A train starts from rest at a station and after 30 seconds stops at the next station, 500m away.
If distance travelled in time T is given by, s = cT^2(k-T) where c and k are constants...
i) Find formulae for velocity and acceleration.
velocity:
v=s/t so, = cT(k-T) ???
acceleration:
s=ut + 1/2at^2
cT^2(k-T)=0 + 1/2at^2
a=2c(k-T) ???
ii)Use the fact that velocity is zero when T=30 to find value of k.
v=30c(k-30)=0
30ck=900c
k=30
iii)Use the fact that s=500 when T=30 to find c.
The problem here is the (k-T) part of every formula, where k and T are both 30, giving 0... suggesting that k shouldn't be 30?
Any and all help is greatly appreciated! Many thanks.
