V = Example 2: The velocity of a projectile is determined by the function where s is the horizontal distance in meters traveled by the projectile. If the 0.03 velocity of a projectile is measured at 150 m/s, what is the distance the projectile travels?

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Q: A rocket sled having an initial speed of 112 mi/h is slowed by a channel of water. Assume that…

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Q: If a football is kicked straight up with an initial velocity of 96 ft/sec from a height of 5 ft,…

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Q: On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C…

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Q: Water is flowing into a conical drinking cup with an altitude of 5 inches and a radius of 3 inches,…

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Q: 5. This box has a length x and a width that is 4 times its length. The volume is 500 cm. Find a…

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

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Q: We encounter the composition h(T) = L(A(T)) with L and A defined as: A, the amount of ice stored in…

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Q: (i) Solve the equation = (ii) Examine the analyticity of the function f(2) = (e).

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Q: The cube root parent function y = Va has been transformed. What is the equation of the new image? -5…

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Q: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

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Q: The average height of water in a harbour is 5 m. At low tide, the water height is 3 m. The tide…

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Q: 1. An object is to travel a distance of 15 meters. Express velocity v as a function of travel time…

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Q: An arrow is shot from 6 ft above the top of a hill with a vertical upward velocity of 116 ft/s. If…

A: Explained below

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A:

Q: The rate of change in data entry speed of the average student is ds/dx = 6(x + 9)¬1/2, where x is…

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Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the…

A: I am attaching image so that you understand each and every step.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.