A high-speed bullet train accelerates and decelerates at therate of 4 fts 2 . Its maximum cruising speed is 90 mih What is the maximum distance the train can travel if itaccelerates from rest until it reaches its cruising speedand then runs at that speed for 15 minutes?

Q: A car is traveling at 88 ft /s when the brakes are fully applied, producing a constant deceleration…

A: Solve for the distance

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Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

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A:

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

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A: Let t= time in second d=distance Also, consider second skater time in second is t .

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A:

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A: Given: A car traveling at 45 miles per hour.

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A: Let the radius of a sphere be r unit . Then, the volume, V of the sphere is calculated using the…

Q: Suppose a car is going 31 miles per hour and slams on the break and decelerates at 13 feet per…

A:

Q: A motorcycle traveling at a speed of 34.0 mi/h needs a minimum of 44.0 ft to stop. If the same…

A: Stopping distance is given by the formula d=kv2

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A:

Q: Suppose that a car skids 15 m if it is moving at 50 km/h when the brakes are applied. Assuming that…

A: Given that car skids, 15 m if it is moving at 50 km/h when the brakes are applied. That is,

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Q: A ball is dropped down a well and 5 sec later the sound of the splash is heard. If the velocity of…

A: The complete solutions are given below

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Q: 1. A car is travelling at 50 mi/hr when the breaks are fully applied, producing a constant…

A:

Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A: Topic = Volume

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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: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

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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: The brakes of a car are applied when it is moving at 80 km/h and provide a constant deceleration of…

A:

Q: A car is moving at 60 mi/hr (88 ft/s) on a straight road when thedriver steps on the brake pedal and…

A: Given: u=88 feetsec, a=-10 fts2, t=3 seconds we know that s=ut+12at2…

Q: A car braked with a constant deceleration of 40 ft/s2, producing skid marks measuring 80 ft before…

A: Deceleration = dv/dt And v = dx/dt where v is the velocity and x is the displacement Hence,…

Q: The top of a ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the bottom…

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A: Volume of cylindrical shape V=πr2h ------------------(1)

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A:

Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

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Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate…

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is…

Q: The top of a ladder slides down a vertical wall at a rate of 0.125m/s. At the moment when the bottom…

A:

Q: The volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge…

A: Given that the volume of a cube is increasing at a rate 56 in3/sec and the edges are 8 in. long. It…

Q: An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec.. If the…

A: Rate of change of velocity is called acceleration. When there will be retardation,the sign of…

Q: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

A: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

Q: A spacecraft is launched from the surface of a 6.7 x 1024 kg planet. If the spacecraft is moving at…

A:

Q: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

A: Given: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

Q: A tiger is 45 ft directly south of a herd of elephants. The tiger starts to slink towards the…

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Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.