At 9:13AM a car is traveling at 35 miles per hour. Two minutes later, the car is traveling at 85 miles per hour. Prove that are some time during this two-minute interval, the car’s acceleration is exactly 1500 miles per hour squared.

Q: A lamp post 3 m high is 6m from the wall. A man 2 m tall is walking directly from the post toward…

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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

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

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

Q: A boat leaves a dock at 2:00 PM and travels due south at aspeed of 20 km/h. Another boat has been…

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Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing…

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Q: An explosion is recorded by two microphones that are 2 miles apart. M1 receives the sound 3 seconds…

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Q: A particle has a velocity at time of 4, + 2t meters per minute, where is in minutes. Estimate how…

A: To find the distance traveled using 4 intervals

Q: fast is the distance between the two cars changing?

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Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A: distance between the ship A and B is 150 km speed of ship A is 35km/h so at time t, the distance…

Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knats.…

A: Let the time at 2:00 Pm be t  The two ships will form a right angled triangle, with horizontal side…

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…

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

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Q: A Plane (Plane A) travels North at a speed of 800 kph. after 15 minutes, another plane (plane B)…

A: Planes are moving same direction :

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A: The rate of change of a function at a value is equal to the derivative of the function at that…

Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

A: This question can be solved using the concept of speed, time and distance.

Q: An explosion is recorded by two microphones that are 1 mile apart. Microphone M1 received the sound…

A: Given that sound travels at 1100 feet per second. Also, M1 received the sound 2 seconds before M2,…

Q: A baseball diamond is 90 feet square, and the pitcher's mound is at the center of the square (which…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

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

A: At time t, the ship A moves 24t and ship B moves 16t. It can be found that, the ship A moves closer…

Q: At 2:00 PM a car’s speedometer reads 30 mih. At 2:10 PMit reads 50 mih. Show that at some time…

A: Given At 2:00 PM a car’s speedometer reads 30 mih. At 2:10 PM  it reads 50 mih.

Q: A bus is cruising at 40 miles per hour when suddenly the driver notices a deer on the road ahead of…

A: We need to find the stopping distance from the given information.Let s be the stopping distance.

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

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Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knots.…

A: Given that at time 2 p.m the second ship is at the place occupied by the first ship one hour before.…

Q: Car A is 40 km east of Car B and begins moving west at 40 km/h. At the same moment, Car B begins to…

A: Answer is in below steps.

Q: A ladder 14 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder…

A: Given:

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…

A: Take the position of ship B as the origin. So the coordinates of ship A are: (-170,0) Coordinates of…

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: Runners start at first and second base, which are 90 feet apart. When the ball is hit, the runner at…

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Q: drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 12 cm, what…

A: A drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 12 cm,…

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

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Q: Two people start from the same point. One walks east at3 mih and the other walks northeast at 2 mih.…

A: Given dcdt=3mi/hdbdt=2mi/ht=15min=1560=0.25hr

Q: Due north, Seokjin is walking towards the most famous spot in a park at a rate of 1.3 meters per…

A: We will solve the problem.

Q: A pedestrian crosses diagonally from one corner of a two kilometer by three kilometer City Park to…

A: Consider the provided question, Given a city park has dimension 2 km x 3 km. Here, width (b) of the…

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 start moving from the same point. One travelssouth at 60 mih and the other travels west at…

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Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

A:

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

A:

Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

Q: A street light is at the top of a 15.0 ft. tall pole. A man 5.8 ft tall walks away from the pole…

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Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

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Q: A ball is thrown vertically into the air at a velocity of 180 ft/sec. After 5 seconds, another ball…

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Q: A car traveling at 60 ft/sec begins decelerating (time is zero here, as is position) at a constant…

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Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

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Q: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

A: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

Q: A street light is at the top of a 11.0 ft. tall pole. A man 5.8 ft tall walks away from the pole…

A: Given : Height of pole h = 11.0 ft Height of man = 5.8 ft  Man walks away from pole with the speed…