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# Displacement, Velocity, Acceleration

How fast are you moving? How fast is how fast you are moving changing? Displacement, velocity, and acceleration form the art of understanding movement, Calculus-style.

If the acceleration of the elevator is given by the following graph:

Which of the following is the best graph to illustrate the velocity of the elevator?

A particle is thrown straight up with a velocity of \(20 \text{ m/sec} \). Find the time (in seconds) from the start of motion at which the distance traveled is twice the displacement.

Use \(g=10~m/s^{2}\).

A jogger is jogging around a circular park of radius 1 kilometer at a speed of 6.28 kilometers per hour. The jogger starts at some point \(A\), and jogs around the park to a point \(B\), diametrically opposite to \(A\). During his jog, how many minutes after starting from \(A\), does the ratio between the jogger's distance and the jogger's displacement reach a maximum?

**Details:**

Take \(\pi\approx 3.14\)

The ratio to be maximized is \(\frac{Distance}{Displacement}\)

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