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In a uniformly accelerated motion the distance ,s metre, travelled in time t seconds varies partly as the time and partly as the square of the time. When the time 2 seconds ,the distance travelled is 80 metres and when the time is 3 seconds ,the distance travelled is 135 metres .
(a)Express s in terms of t.
(b)Find:
(i)The distance travelled in 5 second. (ii)The time taken to travel a distance of 560 metres.