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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §1.1 Velocity and Distance, #28 · Calculus · Derivatives

Find the only … that has

This problem involves linear functions $f (t) = v t + C$ . Find the constants $v$ and $C$ .

Find the only $f = v t$ that has $f (2 t) = 4 f (t)$ . Show that every $f = \frac{1}{2} a t^{2}$ has this property. To go ____ times as far in twice the time, you must accelerate.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §1.1 Velocity and Distance, #28

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