Runners start at first and second base, which are 90 feet apart. When the ball is hit, the runner at first base runs at a speed of 17ft/sec toward second base and the runner at second base runs at a speed of 19ft/sec toward third base. How fast is the distance between runners changing one second after the ball is hit?

Q: At 1:00pm, Ship A is 50 miles west of Ship B. Ship A is sailing north at 25 mph and Ship B is…

A: Construct the diagram: The triangles are similar, so  25t20t=x50-xx=2509

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Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

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A: NOTE: Refresh your page if you can't see any equations. . the initial distance between two ships is…

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A: Given: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m.,…

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A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

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Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 25 km/h and ship B is sailing…

A: The below diagram represents the pictorial representation of the given problem.The position of the…

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A: Given,          Two cars that started at the same point are driving away from each other. The first…

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A: In first question we find out dz/dt .and in 2nd question first we put dy/dx=0 for extreme values.and…

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A:

Q: At noon, ship A is 12 nautical miles west of ship B. Ship A is sailing south at 15 knots and ship B…

A: v→AB=v→AS+v→SBHere v→AB=velocity of ship A relative to ship Bv→AS=velocity of ship A relative to…

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Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

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Q: 16 mi/h and the other travels west at 12 mi/h. At wha

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

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Q: A spotlight on the ground shines on a wall of a building 20 feet away. If a man 6ft tall walks from…

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Q: Two boats leave a dock at the same time. One boat travels south at 30 mi>hr and the other travels…

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Q: A passenger is traveling on a luxury train that is moving west at 80 mph (miles per hour). While…

A: A passenger is travelling on a luxury train that is moving west at 80mph . While running the…

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship…

A: Formula to be used c²= a²+b²

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Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

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Q: Two railroad tracks are perpendicular to each other. At 12:00 P.M there is a train at each track…

A: Given: Two railroad tracks are perpendicular to each other. At 12:00 P.M, two trains at each track…

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A: topic - application of derivatives

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

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Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: At noon, ship A is 50km  west of ship B. Ship A is sailing south at 40km/h  and ship B is sailing…

A:

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Two railroad tracts are perpendicular with each other. At 12:00PM, there is a train on each track…

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Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

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Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 8 m/sec…

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Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Consider the following:

Q: A hot air balloon is tethered at an angle of elevation of a/6. The rope holding the balloon is being…

A: Given Data: The angle of elevation is: α=π6 The rate at which the rope is being brought is: dxdt=-4…

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Q: A 80 foot ladder leaning against a wall is being pushed so that the bottom of the ladder is sliding…

A: Here dydt=6feet/secondx=48 feety=64feet