Funatic Maths

Written on
- Paper 1

Question 8

After flying a short distance, an insect came to rest on a wall. Thereafter the insect started crawling on the wall. The path that the insect crawled can be described by h(t)=(t6)(2t2+3t6)h(t)=(t-6)(-2t^2+3t-6), where hh is the height (in cm) above the floor and tt is the time (in minutes) since the insect started crawling.
8.18.1 At what height above the floor did the insect start to crawl? (1)(1)
8.28.2 How many times did the insect reach the floor? (3)(3)
8.38.3 Determine the maximum height that the insect reached above the floor. (4)(4)
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