A person on a bike starts at rest and accelerates at a rate of 1.5 m/s/s for 8 seconds. At 8 seconds the person continues at a constant velocity for an additional 10
seconds. Answer the following questions:
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Sketch the velocity vs. time graph.
Sketch the acceleration vs. time graph.

An object moves from position +34m to the position -15m in 15 seconds. what is the total displacement? what is the total velocity?

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.

Aproduction line at v. j. sugumaran's machine shop has three stations. the first station can process a unit in 7 minutes. the second station has two identical machines, each of which can process a unit in 16 minutes (each unit only needs to be processed on one of the two machines). the third station can process a unit in 10 minutes. ▼ is the bottleneck station, with a bottleneck time of nothing minutes per unit (enter your response as a whole number).