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I'm not sure if I solved part C correctly. The value I got is larger than the original distance; if the acceleration doubles wouldn't that result in a larger value of R?
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- How would I begin to solve this problem? In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = (RE3/2 + 3*(g/2)1/2 REt)2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t). (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.)Problem-Solving Technique: Draw a labeled picture. Put a coordinate system on the picture indicating the location of the origin and the positive direction. Show the solution in a step-by-step orderly fashion. Write any equation you use in symbolic form before substituting in numbers. 1. Ann is traveling at 30 m/s (80 mi/hr) west when she passes a police car. She immediately begins slowing down at a rate of 2.5 m/s for 4 seconds. How far has she traveled for this time? a. Fill in the information that is given in the problem. Put a question mark for any quantity that is not given in the problem. Vox = v. = b. Determine the distance she traveled in this time. Start with the equation in sy numbers you used including units. olic form and show theFor safety reasons, some of the fastest dragsters, called top-fuel dragsters, do not race for more than 300 to 400 meters. Consider such a dragster that, when the light turns green, accelerates uniformly from rest and completes a 357 meter race in a time of 9.56 seconds. Part A: During this period, what is the dragsters acceleration expressed as a multiple of the acceleration due to gravity, g? Part B: If the dragster could continue with this average acceleration, what would its speed be, in miles per hour, after it has traveled a total distance of 1.6km, which is approximately one mile?
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