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Ratios are used in evaluating the average velocity and average acceleration of an airplane. The average velocity of a plane is the change in distance with respect to the change in time: vave = Dd = d2 − d1 . From that equa- Displacement INSTRUCTIONAL OBJECTIVES Students will • Use rate equation to compute distance and time • Evaluate acceleration as a change in velocity over time NATIONAL MATHEMATICS STANDARDS Algebra • Generalize patterns using explicitly defined and recursively defined variables • Interpret representations of functions of two variables • Approximate and interpret rates of change from graphical and numerical data Problem Solving • Solve problems that arise in mathematics and in other contexts • Apply and adapt a variety of appropriate strategies to solve problems INTRODUCTION plane is the change in velocity to the change in time: aave = Dv = v2 −v1 . Dt t2 −t1 Example problem: A plane is traveling at a constant speed of 525 mph for 30. s. How far did the plane travel in those 30. s? Solution: The plane is traveling at a constant speed t so d = r ⋅ t is the appropriate relationship for this problem. d=r⋅t d=(525mph)30.s⋅ 1hr 3 6 0 0 s d = 4.4 mi This airplane traveled 4.4 mi in those 30. s. d Dt t2 −t1 tion comes the simple rate equation r = t or equivalently, d = r ⋅ t (r is the rate). The average acceleration of a Pushing the Envelope: A NASA Guide to Engines 55 PHYSICS AND MATHPDF Image | NASA Guide to Engines
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