SAHIL
Last Activity: 8 Years ago
Distance travelled,s = ut +1/2a(t^2) where u=initial velocity, a =acceleration, t=time
Assuming u= 0
s=1/2a(t^2)
F=ma
F = power/velocity
P/v =ma , but P and m are constant so;
1/v is proportional to a
v =s/t
1/v =t/s
t/s proportional to a
Substitute t/s for a in s=1/2a(t^2)
s is proportional to (t/s) *(t^2)
s is proportional to (t^3)/s
so s^2 is proportional to t^3
and s is proportional to t^3/2