Question

A fireworks rocket consists of two fuel stages which serve to provide two consecutive accelerations of the rocket. Starting from rest at a height of 0 m and a time of 0 seconds, the rocket is ignited and the accelerations begin. The first acceleration stage lasts for 1.64 seconds and accelerates the fireworks to an upward velocity of 8.52 m/s. The second acceleration stage lasts for 3.28 seconds and accelerates the fireworks to an upward velocity of 15.34 m/s. The graph at the right depicts the motion. Use the graph to answer the following questions.

(a) Determine the acceleration of the rocket during the first fuel stage.
(b) Determine the acceleration of the fireworks during the second fuel stage (from t1 to t2).
(c) Determine the distance the rocket travels upward (i.e., height above the ground) during the first stage of motion.
(d) Determine the distance the rocket travels upward during the second stage of motion (from t1 to t2).

Answer 1

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