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At a distance of 4,000 ft from the launch site, a spectator is observing a rocket being launched. If the rocket lifts off vertically and is rising at a speed of 600 ft/sec when it is at an altitude of 3,000 ft, how fast is the distance between the rocket and the spectator changing at that instant?Solution) Distance=s=√(40002+h2), rate of change of distance=ds/dt=(ds/dh)(dh/dt)=(d(√(40002+h2)/dh)(dh/dt),dh/dt=600 ft/sec
By what percentage should the pressure of a given mass of gas be increased,so as to decrease its volume by 10% at a constant temperature.
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Q. Helpful Henry's car is pushing Flat-tire Fred's car to the car shop. While the cars are accelerating up to 15 miles/hour Helpful Henry needs to push Fred's car with 60 N of for
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