A particle moves in a straight line so that, t seconds after passing through a fixed point

Question:

A particle moves in a straight line so that, t seconds after passing through a fixed point O, its displacement, s metres, from O is given by s = ln(1 + 2t).

a. Find the value of t when the velocity of the particle is 0.4 ms-1.

b. Find the distance travelled by the particle during the third second.

c. Find the acceleration of the particle when t = 1.5.

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