PHY 121 : solution homework 5.2 tang fu university physics
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A man is running at speed (much less than the speed of light) to catch a bus already at a stop. , when he is a distance from the door to the bus, the bus starts moving with the positive acceleration. Use a coordinate system with at the door of the stopped bus. Because the man"s speed is constant, you may use. Because the bus has constant acceleration, you may use. Inserting the formulas you found for obtain the following: and into the condition. Intuitively, the man will not catch the bus unless he is running fast enough. In mathematical terms, there is a constraint on the man"s speed so that the equation above gives a solution for number. that is a real positive. , the minimum value of for which the man will catch the bus. What is the discriminant (the part under the radical) of the solution for. To get a real value for constraint that exceed.
