2022 Pahang
A particle moves s along a straight line and passes through a fixed point O. Its velocity,v ms-1 is given by v=mt2+nt, 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-2 when t=1s.
[Assume motion to the right is positive]
Find
a) the values of m and of n,
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.