Question: 1. The function h(t) = -At + Bt + C models the position of a starburst fireworks rocket fired from Cm above the ground during

1. The function h(t) = -At + Bt + C models the position of a starburst fireworks rocket fired from Cm above the ground during a celebration. For the moments of time t = 0, 0.5 and 1 s find (a) the position of the rocket; (b) its speed; (c) its acceleration. 2. Determine the maximum height of the rocket. (Give answer correct to 1 d.p.) 3. If the speed of the rocket is described as o(t) = A - Bt, find the height of the rocket at the time f = 7. (Hint: the height at * = 7 can be found as [ v(t) dt). Give the answer correct to 1 d.p

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