A particle moves along a straight line with acceleration (a(t)=6t-4\) (in m\,s$^{-2}$). At time (t=0\) its velocity is (3\) m\,s$^{-1}$ and its position is (2\) m.

(i) Find the time (in seconds) when the particle returns to its starting position.

(ii) Determine the total distance travelled by the particle up to that time.

Question

A particle moves along a straight line with acceleration (a(t)=6t-4\) (in m\,s$^{-2}$). At time (t=0\) its velocity is (3\) m\,s$^{-1}$ and its position is (2\) m. 
 
(i) Find the time (in seconds) when the particle returns to its starting position. 
 
(ii) Determine the total distance travelled by the particle up to that time.

Accepted Answer

Time = 1 s; Total distance = \frac{8}{27} 	ext{ m}

Gce Model Questions Vol1 2021 Further Mathematics Question 16

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