The velocity of a particle t seconds after passing a fixed point O, is given by V = at² + bt m/s, where a and...

The velocity of a particle t seconds after passing a fixed point O, is given by V = at² + bt m/s, where a and b are constants. Given that its velocity is 2 m/s when t = 1 sec and it returns to 0 when t = 4.5 secs, calculate;

(a) The values of a and b.
(b) Hence find;
(i) The values of t when the particle is instantaneously at rest.
(ii) The total distance traveled by the particle during the first 4 seconds
(iii) The maximum velocity attained by the particle

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Wilfykil answered the question on August 19, 2019 at 13:57

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