A toy rocket is launched from the top of a building 92 feet tall at an initial velocity of 250 feet per second. ​a) Give the function that describes the height of the rocket in terms of time t. ​b) Determine the time at which the rocket reaches its maximum​ height, and the maximum height in feet. ​c) For what time interval will the rocket be more than 823 feet above ground​ level? ​d) After how many seconds will it hit the​ ground? ​a) The function that describes the height of the rocket in terms of t is s(t)=__. ​b) The rocket reaches its maximum height of___feet after approximately ___seconds. ​(Round to the nearest hundredth as​ needed.) ​c) The rocket will be more than 823 ft above ground level for all values of t in the interval___. ​(Type your answer in interval notation. Do not round until the final answer. Then round to the nearest hundredth as​ needed.) ​d) The rocket will hit the ground after __seconds.

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –