Answered: A cyclist rides down a long straight…

A cyclist rides down a long straight road at a velocity (in m/min) given by v(t)=100−10t, for 0≤t≤10. How far has the cyclist traveled when his velocity is 65 m/min?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

Q: A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96…

Q: A body moves along a horizontal line in accordance to s t + 9t2 + 24t. Find the total distance…

A: Given query is to find the distance traveled by the body

Q: The side of an equilateral triangle is increasing at a rate of 2 m/sec, then the rate at which its…

Q: A 600 litre tank initially contains 200 litres of water in which 10 grams of salt are dissolved.…

A: (a) A 600 litre tank initially contains 200 liters of water. 10 grams of salt are dissolved in it.…

Q: A particle moves along a straight line with a velocity v(t) =t*e meters per second after t seconds.…

Q: Suppose that a shallow earthquake occurs in which the P waves travel 8 km/sec and the S waves travel…

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: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

Q: A bacteria population starts with 400 bacteria and grows ata rate of r(t) = (450.268)…

Q: A rectangular box has its height increasing at a rate of 1m/s while its volume is decreasing at a…

A: We have to find the rate of change of length.

Q: Suppose at the end of the d perature stays constant at M furnace/air conditioner rate A

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

Q: A honeybee population starts with 100 bees and increasesat a rate of n'(t) bees per week. What does…

A: Given data: The initial honeybee population is n(0)=100. If n'(t) is the rate at which the…

Q: A van is 5 km due north of a pus at 2:00 PM. if the van is traveling northward at the rate of 60 kph…

A: The rate at which the distance between bus and van is changing is solved below

Q: 3. A 20 ft ladder is leaning against a wall and begins to slide. How fast is the top of the ladder…

A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

Q: In order to stay awake during class, a professor keeps a 200 ounce capacity coffee maker in his…

A: Given coffee maker capacity is 200 ounces. it contains 40 ounces coffee which has 500 mg caffeine.…

Q: Find the average rate of change of the function over the interval [-2, 1] f(x) = 2.x³ – 5.x +3

A: To determine the average rate of change of the below function over the interval [-2,1]. fx=2x3−5x+3

Q: b) write an expression for the position in terms of time t, use c (lower case) to denote constant of…

A: a =dv/dt where a is acceleration

Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to…

A: Topic = Algebra The maximum height reached by the stone is 196 ft.

Q: A bomb is dropped from a helicopter hovering at an altitude of 800 feet above the ground. From the…

Q: A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: (a) Let the initial position of the car be at the origin. Take the x-axis from west to east and the…

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a…

A: Here is the solution

Q: Use differentials to approximate V36.1. 3.

A: Consider y = root x.Let take x = 36 and delta x = 0.1.Find delta y as follows.

Q: Find the average velocity of the function over the given interval. y= - 3x? - x, [5,6] – X,

Q: Water is flowing into a cylindrical tank at the rate of 2 m^3/min. If the radius of the tank is 0.5…

A: Water is flowing into a cylindrical tank at the rate of 2 m3/min.If the radius of the tank is 0.5 m,…

Q: 13. A 10-meter ladder is leaning against a vertical wall with its foot on the same horizontal plane…

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s find the length of ladder = ?

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A: Given: when the initial time t=0 amount of the cane sugar is 75 kg, and the time t=30 minutes amount…

Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to s = 112t −…

Q: A race car starts from rest and speeds uniformly to the right until it reaches a maximum velocity of…

Q: A spherical balloon is inflated with hellium at the rateof 13727T m/min, How lastt balloon's rodius…

A: Given: dVdt=1372π m3/minr=7m

Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given, A ladder slides down a vertical wall at a rate of 0.675 m/s When the bottom of the ladder…

Q: a ball is free falling from height of 200 mifind 1-the time of the ball wheureach to the ground. 2-…

A: Part(a): Given, Height=200 mg=9.8 m/s2u=0 Velocity for free falling body Let, the time be t and…

Q: A woman's blood pressurep ranges from a high (the systölic pressure) to a low (the diastolic…

Q: 10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm…

Q: At noon a car starts from rest at point A and proceeds with constant acceleration along a straight…

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2, where k is a…

A: Use simple velocity, distance, acceleration formula.

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

A: I am attaching image so that you understand each and every step.

Q: Use differentials to estimate the maximum error in the volume of a rectangular box with square base…

A: Here we find the error in volume by using differential.

Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1o C for each…

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

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

Q: An apple pie with an initial temperature of 170 -C is removed from the oven and left to cool in a…

Q: Water is drained from a pool at a rate of R(t) = 50e-0.08t gallons per hour. If the drain is left…

A: 625 gal. water drains from the pool.

Q: 4. A lizard accelerates from 2 m/s to 10 m/s in 4 seconds. What is the lizard's average…

A: Given: a) A lizard accelerates from 2 m/s to 10m/s in 4 seconds. What is lizards average…

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when…

Q: Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

A: Given that, 'L' be the length of a diagonal of a rectangle whose sides have lengths x and y, and x…

Q: A tank initially holds 80 gal of a brine solution containing of salt per gallon. At t=0, another…

Question

100%

A cyclist rides down a long straight road at a velocity (in m/min) given by v(t)=100−10t, for 0≤t≤10. How far has the cyclist traveled when his velocity is 65 m/min?

Expert Solution