A particle, moving in a straight-line, passes through a fixed-point O. Its velocity v ms -1 ,

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A particle, moving in a straight-line, passes through a fixed-point O. Its velocity v ms-1, t seconds after passing through O, is given by v = 10t – t2.

a. Find the velocity of the particle when the acceleration is 6 ms-2.

b. Find the time taken before the particle returns to O.

c. Find the distance travelled by the particle in the 2nd second.

d. Find the distance travelled by the particle before it comes to instantaneous rest.

e. Find the distance travelled by the particle in the first 12 seconds.

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