Q1: A wheel accelerates uniformly from rest to 2000 r.p.m. in 20 seconds. What is its angular acceleration? How many revolutions does the wheel make in attaining the speed of 2000 r.p.m.?
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A: The objective of the problem is to find the speed at which the balloon is rising at the given…
Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…
A: topic - trigonometric ratios and application of derivatives
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A: topic- application of derivatives
Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…
A: Here we will find how fast is the balloon rising,
Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…
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A: a=dvdt v=dx/dt sin pi=0 cos pi=-1
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A: Velocity and acceleration
Q: A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off point.…
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A: Note : According to our guideline I can solve only 1st , please reroute the remaining question.
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Q: 49. A plane flying with a constant speed of 300 km/h passes over a ground radar station at an…
A: Form the triangle and use cousin formula then take the derivative.
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A: Solution:
Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…
A: Rate of change
Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…
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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
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- Provide 3 examples of the application of derivates (Newton's method).What formulas are available for writing a moving object’s accel-eration as a sum of its tangential and normal components? Give an example. Why might one want to write the acceleration this way? What if the object moves at a constant speed? At a constant speed around a circle?2. Explain how it can happen that an object with negative acceleration could speed up.
- When is the particle speeding up and when is it slowing down?Chapter 3, Section 3.4, Question 009 Let θ (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time. (a) How are dθ/dt, dx/dt, and dy/dt related?Note that "dθ/dt=" is already provided. Do not include this in your submitted response to this question. dθ/dt= (b) At a certain instant, x=2 units and is increasing at 2 units/s, while y=2 units and is decreasing at 110 unit/s. How fast is θ changing at that instant? Is θ increasing or decreasing at that instant?Enter the exact answer. dθ/dt=Consider the case of a rotating wheel at rest and starting a clockwise rotation, meaning the negative direction of the angular velocity, and increasing (negatively) its value up to -12 rad/sec for 2 seconds. It then maintains a constant velocity for 2 seconds, and then uniformly reduces the magnitude of the velocity for 2 seconds until the wheel is momentarily stopped and restarts its rotation counter clockwise with positive angular velocity, accelerating up to 20 rad/sec in 2 seconds and remaining at a constant rotation for 2 more seconds. Finally, the wheel stops gradually in 2 seconds. Next you can see the graph of angular velocity versus time of this rotation: Get the slope of the straight line in the range from 0 to 2 seconds and use analytical geometry to build the equation of that line, in the type of equation slope-intercept form. Write theresults below:
- Please answer this problem about Newton's law of coolingIf someone could go into detail with this, it would help alot! What are the units for Torque, Moment of Inertia, and Angular Acceleration? Show all work. If the Torque applied to a rigid body is doubled, what happens to the Moment of Inertia? Why did you need to calculate acceleration to determine I0? Could you have calculated a theoretical I0 without running any trials? Were any torques ignored in this experiment? What are they? Do you believe they may have significantly altered your resultsAs an object cools, its rate of cooling slows. Explain how this follows from Newton’s Law of Cooling.
- What is the difference between an object with constant acceleration and an object with constant speed?A stone is dropped from the edge of a roof, and hits the ground with a velocity of -190 feet per second. How high (in feet) is the roof?Note: the acceleration of an object due to earth's gravity is 32ft/sec2Suppose a rock falls from rest from a height of 100 meters and the only force acting on it is gravity. Find an equation for the velocity v(t) as a function of time, measured in meters per second. Hint What is the initial velocity of the rock?