2022 Pahang

[size=100]A particle moves s along a straight line and passes through a fixed point O. Its velocity, v ms[sup]-1[/sup] is given by v=[math]mt^2+nt[/math], where m and n are constants and t is the time, in seconds, after passing through O. It is given that the particle stops instantaneously when t = 5 s and its acceleration is 3 ms[sup]-2[/sup] when t=1s.[/size][br][size=100][Assume motion to the right is positive][br][br]Find[br][/size]
a) the values of m and of n,[br]
b) the range of values of t when the particle moves to the right.
c) The distance, in m, travelled by the particle during the second.
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