[size=100][b]The diagram above shows a displacement-time graph of a particle moves along a straight line for t seconds. The equation of the curve PQ is s=ht[/b][sup]2[/sup][b]+k,where h and k are constants. The points P,Q,R and S are (0,1),(2,3),(4,3) and (6,0) respectively.Find[/b][/size]
[size=100][b]a) find the value of h and k[/b][/size]
h=[math]\frac{1}{2}[/math],0.5 [br]k=1
[b]b) find the velocity of the particle, in ms[sup]-1[/sup],when[/b][br]i)t=1 ii)t=3 iii)t=5
i)[math]1ms^{-1}[/math][br]ii) [math]0ms^{-1}[/math][br]iii) [math]-1.5ms^{-1}[/math]