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  1. A bicycle has a constant velocity of 10 m/s. A person starts from rest and begins to run to catch up to the bicycle in 30 s when the bicycle is at the same position as the person. What is the acceleration of the person?

  2. We can define relative speed as the speed of a moving body with respect to another. When two bodies move in the same direction, their relative speed is computed by their difference. But when two bodies are moving in the opposite direction, the relative speed is calculated by adding the speed of both the bodies.

    • 49 min
    • Flying A Plane in A Wind
    • Strategy
    • Solution

    A pilot must fly his plane due north to reach his destination. The plane can fly at 300 km/h in still air. A wind is blowing out of the northeast at 90 km/h. (a) What is the speed of the plane relative to the ground? (b) In what direction must the pilot head her plane to fly due north?

    The pilot must point her plane somewhat east of north to compensate for the wind velocity. We need to construct a vector equation that contains the velocity of the plane with respect to the ground, the velocity of the plane with respect to the air, and the velocity of the air with respect to the ground. Since these last two quantities are known, we...

    The vector equation is $$ {\overset{\to }{v}}_{\text{PG}}={\overset{\to }{v}}_{\text{PA}}+{\overset{\to }{v}}_{\text{AG}}, $$ where P = plane, A = air, and G = ground. From the geometry in (Figure), we can solve easily for the magnitude of the velocity of the plane with respect to the ground and the angle of the plane’s heading, $$ \theta .$$ (a) K...

  3. Oct 24, 2023 · We have established that whenever \(v\) is constant on an interval, the exact distance traveled is the area under the velocity curve. When \(v\) is not constant, we can estimate the total distance traveled by finding the areas of rectangles that approximate the area under the velocity curve.

  4. Mar 30, 2020 · Without the ability to connect in person, where we can exchange visceral energy, long-distance partners must adapt to a new plane of conversational mediums and practices in order to maintain...

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  6. Apr 23, 2015 · Assign your numbers for the speed of each car (mph), and assign your number for distance between A and B (ml). Make an equation with x as a time of movement. Solve an equation for x to find how long it will take for cars to meet (find x)."

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