A rock is thrown straight upward from the top of a building with an initial velocity of 15.0 m/s, at an initial height of 45.0 m above the ground. The rock just misses the edge of the building’s roof on its way down. The magnitude of the acceleration due to gravity is 9.79 m/s2 (in Greeley).a. What is the time needed for the rock to reach its maximum height?b. What is its maximum height with respect to the ground?c. How much time is needed for the rock to return to the height from which it was thrown? d. How much time does the rock take to travel from when it was initially thrown to when it reached the ground?e. Please carefully sketch a graph for position vs. time, velocity vs. time and acceleration vs. time for this rock’s total trajectory. (One doesn’t need actual numbers on these graphs. The shapes are important.)
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