Ramjet Problem: A ramjet (Figure 7-7a) is a relatively simple jet engine. The faster the

Chapter 7, Problem R2

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Ramjet Problem: A ramjet (Figure 7-7a) is a relatively simple jet engine. The faster the plane goes, the more air is rammed into the engine and the more power the engine generates Figure 7-7aa. Assume that the rate at which the planesspeed changes is directly proportional to itsspeed. Write a differential equation thatexpresses this assumption.b. Solve the differential equation. Show theintegration step and describe what happensto the absolute value sign.c. Evaluate the constants in the equation if theplane is flying at 400 mi/h at time t = 0 sand 500 mi/h at time t = 40 s.d. When will the plane reach the speed ofsound, 750 mi/h?The X-43A hypersonic research aircraft, poweredby a ramjet engine, can reach speeds up to10 times the speed of sound (Mach 10).