2022 Pahang

[size=100][b]A particle moves s along a straight line and passes through a fixed point O. Its velocity,v ms[sup]-1[/sup] [/b][b] is given by v=mt[sup]2[/sup]+nt,[/b][b] 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] [/b][b]when t=1s.[/b][br][/size][br][size=100][b][Assume motion to the right is positive][/b][br][br][b]Find[/b][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.[br]
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Information: 2022 Pahang