In this lesson, we will learn how to use a mathematical model of a real life situation to predict and calculate distances, heights, velocities, accelerations, and forces.

Students will be able to

Q1:

A baseball struck by a professional baseball player travels in the air for 10 s before it lands. The motion is modeled by the equation 𝑑=20𝑡, where 𝑑 is the horizontal distance, in meters, of the baseball from the home plate 𝑡 seconds after it is hit. How far does this ball travel before hitting the ground?

Q2:

Which of the following assumptions is not appropriate when constructing a mathematical model representing the motion of a stone thrown in the air?

Q3:

Which of the following assumptions is not appropriate when constructing a mathematical model representing a mechanical system where a pulley system drags a heavy box on a concrete floor?

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