(9) (a) In this question use a(t) = -32 feet / sec? as the acceleration due to gravity. S(1) =gt gt² +vot +So g =-32, v, = initial velocity, so = initial height %3D %3D A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 60 feet per second. How high will the ball go?

(b) S A 1 When is the velocity of the particle positive? When is it negative? When is the particle speeding up? When is it slowing down?

) An object is thrown upward at time t = 0. After t seconds, its height is y = −4.9t² + 2t + 4.5 meters above the ground. (a) From what height was the object thrown? (b) What is the initial velocity of the object? (c) What is the acceleration due to gravity? meters m/s m/s²

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 90t, at which time the fuel is exhausted and it becomes a freely "falling" body. Eighteen seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -11 ft/s in 5 seconds. The rocket then "floats" to the ground at that rate. (a) Determine the position function s and the velocity function v (for all times t). 4512 if 0 sts 3 405 if 3 26 15r3 if 0 sts 3 405 if 3 26