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Q2. (a) On a particular planet, the height, h metres, of a projectile, t seconds after launching is derived from the formula h = at + bt² where a and b are constants.

Given that a projectile on this planet has h = 296m when t = 2 and h = 725m when t = 5, determine EACH of the following:

(i) the values of a and b; (7)

(ii) the duration of the flight. (5)

(b) Make S the subject of the following formula:

T = √((2ghDA²)/(d(S² - A²))) (4)