If a 250 meters long train is traveling at an average speed of 60 kph, how long it would take that it passes a 250 meters long tunnel? Someone stated that the answer is obvious and it is 15 seconds. Is he correct? If yes, explain how he calculated that? If no, where did he made a mistake?

Q: A ball is shot straight up into the air with initial velocity of 45 ft/sec. Assuming that the air…

A: we know third law of equation of motionv2=u2+2aswhen ball reaches to highest point then final…

Q: A toy rocket is launched from ground level with the initial velocity of 96 ft./s  How many seconds…

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Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: A man starts walking north at 2 feet per second from a point P. A minute later a woman starts…

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Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

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Q: A truck travelling southwards at 40kph and a car traveling eastward at a rate of 60kph ar headed for…

A:

Q: A ladder 10 ft. long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder 10 ft. long If the bottom of the ladder slides away from the wall at a rate of 2 ft./sec.,…

Q: A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is…

A: Given an arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft.…

Q: A 25-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 5…

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Q: A measurement of the diameter of a disk has an uncertainty of 1.5 mm. How many measurements must be…

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Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Given, length of ladder = 17 ft But given that ladder is leaning against a wall ⇒  the ladder and…

Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: A satellite 200 miles above the earth is orbiting the earth once every 12 hours. how far does the…

A: We assume earth is circular then circumference of circular path = πr2

Q: A car traveling at 46 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

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Q: A car traveling at 60 feet/sec decelerates at a constant rate so that it comes to a complete stop…

A: Initial velocity is equals to 60 ft./s

Q: A balloon is 30 meters above the ground when a car, running at 40 kph, passes directly below it. It…

A: Given,         A balloon is 30m above the ground when a car, running at 40kph passes directly below…

Q: A car traveling at 46 ft/sec decelerates at a constant 8 feet per second per second. How many feet…

A:

Q: A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A: Solution..

Q: man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the ground.…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Topic:- calculus

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…

A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…

Q: The length of the horizontal leg of a right triangle is increasing at a rate of 3 ft/sec, and the…

A: Given A right triangle  horizontal leg = 7ft vertical leg = 1ft

Q: A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air…

A:

Q: 19.) A cyclist traveling at 40ft/s decelerates at a constant 4 ft/sec?. How many feet do they travel…

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Q: A 13 ft. ladder is leaning against a house while the base is pulled away at a constant rate of 1…

A: We need to find the rate at which top of ladder sliding down

Q: A 35-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 8…

A: Let BC = x = distance from the base of wall to bottom of the ladderAB = y = distance from the base…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Let y be the distance from top of the ladder to the ground And X be the distance from foot of the…

Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

A:

Q: If the area of a square is increasing by 10 square inches per minute, how quickly is the length of…

A: Let us consider x inches be the side of the square. Area = x2. We are given that the area of the…

Q: Acar traveling 25 m/s begins to decelerate at a constant rate of 4 m/s2. After how many seconds does…

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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: was an earthquake in South America with magnitude 4.3 that caused only minor damage. How many times…

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Q: A 15-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 3…

A:

Q: . A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

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Q: Suppose that the hot-air balloon was descending at a rate of 12 ft/sec instead of ascending.…

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Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Let the volume of the water in the trough at time be V. The rate of change of V is,

Q: A 20-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 6…

A: Let x= horizontal distance y=vertical distance Given that dx/dt=6 ft/sec and x=16 ft At x=16 we find…

Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

A: A boat takes 2/3 as much time to travel downstream from C to D, as to return. If the rate of the…

Q: A car is merging onto a freeway (beginning at rest), accelerating at a constant rate of 18ft/sec.…

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Q: A balloon ascending at the rate of 12 ft/sec is at a height 80 ft above the ground when a package is…

A: Sol:-v0=12 ft/secHeight = h = 80 ftThen, y-y0=v0t-12gt2