The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (Use M, to get the most precise estimate.) ft v (ft/s) 75 50 25 t (seconds) 2 4

Q: After a ball bounces off from the top of a hill, its velocity at t seconds is vt)-45-30t feet per…

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Q: w shows the velocity, V, of an object (in meters/sec). Estimate the total distance the object…

A: The equation is: y=ax+b The points (6, 20) and (12, 30) are lying on the given graph. Then we get,…

Q: is pedaled so that the tires rotate at a rate of 200 revolutions per minute. A 20-inch bicycle is s…

A: Question: A 26 inch bicycle padaled so that the tires rotates at the rate of 200 revolution per…

Q: (d) When does it hit the ground? (e) With what velocity does it hit the ground?

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Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: The objective of the question is determine the rate of change of volume of the given circular…

Q: Estimate, using the average of the left and right endpoint approximations, the distance traveled…

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Q: A mixing blade on a food processor extends out 3 inches from its center. If the blade is turning at…

A: Given that

Q: A particle that moves along a straight line has a velocity V(t) = t e meters per second after t…

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Q: The radius r of a circle is increasing at a rate of 3 centimeters per minute. Find the rate of…

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Q: After a ball bounces off from the top of a hill, its velocity at t seconds is v(t)=45-30t feet per…

A: Here we will use the concept of definite integral to find the displacement and distance.

Q: The displacement (in feet) of a particle moving in a straight line is given by s = t2 - 7t + 19,…

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Q: A car is driving on a circular track with a radius of 1 (km). At the southernmost point of the…

A: Here the radius of track is R = 1 km. The distance between car and radar meter at a given time is  S…

Q: The volume V = (4/3)pai r3 of a spherical balloon changes with the radius. a. At what rate (ft3/ft)…

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Q: Consider the graph of a velocity function v(t) given below. Assuming this velocity function…

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Q: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

Q: A rocket is fired vertically upward from the ground with an initial velocity of 580 ft / sec.…

A: Given that A rocket is fired vertically upward from the ground with an initial velocity of 580…

Q: The height s (in feet) of a free-falling object at time t (in seconds) is given by 8= -16t + 180…

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Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

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Q: The velocity function (in meters per second) for a particle moving along a line is given by…

A: We have given

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 55…

A: we have to find the distance s covered by a point moving with linear velocity v for the given time…

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: We will use the left endpoint approximation.

Q: A body travels along a straight line according to the law: S = 2t2– 4t + 3/t, where S is in meters…

A: Suppose f is a function of t then approximation of f't at t=a by central divided difference formula…

Q: A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at…

A: This question can be solved using the concept of trigonometry.

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: Introduction: A definite integration of a single variable can be approximated using three different…

Q: The figure below shows the velocity, v, of an object (in meters/sec). Estimate the total distance…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: The given graph is as follows:

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: According to question, Given table, time (Sec) velocity (ft/sec) 0 18 1 32 2 33 3 20 4…

Q: A car tire with a 22-inch diameter is turning at the rate of 35 revolutions per minute. To the…

A: Given: Diameter of tire= 22 inch             Turning rate= 35 revolution per min To find: linear…

Q: 3) Assume that a watermelon dropped from a tall building falls y = 16t2 ft in t sec. Find the…

A: Answer is Option D is correct Explanation is given below..

Q: 10. A rectangular trough is 10 ?? long and 3 ?? wide. Find how fast the surface rises, if the water…

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Q: The velocity graph of a braking car is shown. Use it to estimate the distance, d traveled by the car…

A: Consider the given graph  Given acceleration a=15 and from the graph u=72a

Q: A jet is flying in a direction N 50° E with a speed of 600 mi/h. Find the north and east components…

A: We have to find components of velocity in north and east where direction of jet is N 50° E with…

Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 21…

A: Consider the given velocity v=21mihr and t=20min

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: To find the distance  travelled using a left endpoint approximation.

Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: hen the distance of the plane from at the rate of 8,000 km/hr. At w

A: Given: Perpendicular distance between station and plane is 5,000 km. To find rate of distance of…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. 35.89 2

A: find the value of 35.89 using linear approximation Linear approximation of f at a is  Lx=fa+f'ax-a

Q: The radius of a circle is increasing at a rate of 5 ft/min. At what rate is its area changing when…

A: We can find the rate of change of area as below.

Q: A body above the surface of the earth is pulled toward the center of the earth. If the radius of the…

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Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 75…

A: Given that, v = 75 miles/hour  t = 15 sec We have to find the distance s covered by the point.

Q: According to Poiseuille's laws, the velocity V of blood is given by V= k(R? -?) where R is the…

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Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no…

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Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A: 1

Q: || х? + у? — 4х — 21 3D 0, (5, 4)

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: The given data are: The radius r of a right circular cylinder with a fixed height of 48 inches is…

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: The radius r of a circle is increasing at a rate of 2 centimeters per minute. Find the rate of…

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Q: Find the distance s covered by a point moving with linear velocity v for the given time t. v = 47…

A: we have been given the linear velocity v = 47mi/hr and time t=12hr