# The distance traveled (in meters) by the Oregon slug can be modeled by the function f(t) = 0.9t, where t is the time in minutes. Find the distance traveled in 27.5 minutes

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1. ## Calculus

The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t − 7, 0 ≤ t ≤ 3 (a) Find the displacement. -7.5 m (b) Find the distance traveled by the particle during the given time interval.

2. ## Calculus

The velocity function is v(t)=t^2−5t+4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,5]. So I found the antiderivative of the function, which gave me t^3/3-5^2/2+4x+c.

3. ## Social Studies

Why were settlers attracted to the Oregon Country? Select all that apply. A. The Oregon Country offered an abundance of open fields for farming. B. The Oregon Country was dryer than the East Coast and Pacific coast. C. The Oregon Country offered fertile

4. ## math

Vernon Wells hits a baseball that travels for 142m before it lands. The flight of the ball can be modeled by a quadratic function in which x is the horizontal distance the ball has traveled away from Vernon, and h(x) is the height of the ball at that

5. ## Physics

In the school cafeteria, a trouble-making child blows a 12.0 g spitball through a 25.0 cm straw. The force of her breath as a function of the distance along the length of the straw can be modeled as 10-50x^2-70x^3 where force is in newtons and x is in

6. ## trig

An object suspended from a spring is oscillating up and down. The distance from the high point to the low point is 30 cm, and the objects take 4 sec to complete 5 cycles.For the first few cycles the distance from the mean position, d(t), in cm with respect

7. ## history

Which accurately describes why people traveled by particular western trails? The California Trail was used to communicate with Mexico, while the Santa Fe Trail was used for migration. The Oregon Trail was used for migration purposes, while the Santa Fe

8. ## calculus

A ball is thrown 12 meters in the air (so that the initial up-and-down distance is 24 meters). The ball rebounds 95% of the distance it falls. What is the total vertical distance traveled by the ball before it stops bouncing?

9. ## math

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. Assume that an ant’s constant of proportionality is 18. If an ant walks for 10 minutes, how far will it travel in meters? If an ant

10. ## MATH

The path of a large stone fired from a catapult can be modeled by y= -0.00545x^2+1.145x where x is the distance the stone traveled (in yards) and y is the height of the stone (in yards). 1. find the distance the stone traveled. 2. find the maximum height

11. ## Calculus (math)

The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t3−5t2. Find the displacement and the distance traveled by the particle during the time interval [-1,6]. Distance traveled = ?? I got 2089/12m as answer but

12. ## Algebra

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = –0.06x² + 9.6x + 5.4 where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters,

13. ## Physics

Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled. a) the displacement is either greater than or equal to the distance traveled b)the displacement is always equal to the

14. ## algebra

The height of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 2 to t = 5 represent?

15. ## math

A ball is dropped from \$405\$ meters and rebounds two-thirds the distance it falls each time it bounces. How many meters will the ball have traveled when it hits the ground the fourth time?

16. ## Algebra

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = -0.04x^2+5.8x+4.9, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of

17. ## algebra

A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. In addition, the function d(t) = 85t models the horizontal distance d traveled by the ball. If no one

18. ## Math

Using his driver on the 7th tee, Chris hits an excellent shot, right down the middle of the fairway. The ball follows the parabolic path shown in the figure, described by the quadratic function: h(x)=0.5x-0.002x^2. This relates the height, h, of the ball

19. ## math

any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus. This property explains whispering galleries such as Statuary Hall in Washington DC. Imagine a whispering gallery in the shape of a semi-ellipse. The distance

20. ## math

One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a cannon, her distances measured 9.03 meters, 16.61 meters, 18.44 meters, and 21.75 meters. What was the total distance Gabriella

21. ## Geometry

The path of a large stone fired from a torsion catapult can be modeled by y=-0.0054x(squared)+1.145x, where x is the distance the stone traveled (in yards) and y is the hieght of the stone (in yards)

22. ## physics

In astronomy, distances are often expressed in light-years. One light-year is the distance traveled by light in one year. The distance to Alpha Centauri, the closest star other than our own sun that can be seen by the naked eye, is 4.7 light-years. Express

23. ## physics

A body with uniform acceleration covers 76 m in the 5th sec and 116 m in the 10th sec.Find the distance traveled in the 15th sec.what is the distance traveled in next 5 seconds. As the body is travelling with uniform acceleration so the distance traveled

24. ## Math

a model rocket is launched from a roof into a large feild. The path of the rocket can be modeled by the equation y=-0.8x^(2)+12x+25.8 where x is the horizontal distance, in meters, from the starting point on the roof and y is the height in meters of the

25. ## Math

A cheetah travels at a rate of 90 feet per second. The distance, d, traveled by the cheetah is a function of seconds traveled. Write a rule for the function. How far will the cheetah travel in 25 seconds?

26. ## Mathematics C 8th grade

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B. How fast did Car A travel? _______MPH

27. ## PreCalc

As you ride a bicycle, the distance between your foot and the pavement varies sinusoidally with the horizontal distance the bicycle has gone. Suppose that you start with your right foot somewhere between a high point and a low point, and push down. When

28. ## Calculus(math)

A particle is moving on a straight line in such a way that its velocity v is given by v(t)=2t+1 for 0≤t≤5 where t is measured in seconds and v in meters per second. What is the total distance traveled (in meters) by the particle between times t=0

29. ## math

The path of a cannonball is a parabola modeled by the equation y= 55 + x - 0.002x^2, where x and y are both measured in feet. In this model, the cannonball starts at the point (0,55) and travels to the right. The ground is represented by the x-axis.

30. ## MATH

FOOTBALL. During a field goal attempt, the function h(d)= -0.02d+ 0.9d models the height, h(d) meters, of a football in terms of the horizontal distance, d meters, from where the ball was kicked. Find the horizontal distance the ball travels until it first

31. ## algebra

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.04x + 7.1x + 7.2, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of

32. ## math

The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t3–4t2. Find the displacement and the distance traveled by the particle during the time interval [-1,6]. (Hint: Draw a graph of the velocity function.) Your

33. ## science

Suppose you are hiking along a trail. Make a comparison between your displacement and your distance traveled. Check all that apply. -Your displacement must be less than your distance traveled. -Your displacement must be greater than your distance traveled.

34. ## algebra

The formula below can be used to find the distance (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and d represents the acceleration, in meters per second squared. d=vt+1/2at with a a

35. ## Pre Calculus

A park has a circular walking path with a diameter of 250 meters. a) Write the equation to describe the walking path in your diagram. b) Find the distance traveled by someone walking once around the entire path. c) Find the distance traveled by someone

36. ## Math: Calculus

The velocity of a car is f(t)=7t meters/second. Use a graph of f(t) to find the exact distance traveled by the car, in meters, from t = 0 to t = 10 seconds

37. ## math

The position of an object moving in a straight line is given by the function , where s(t) represents distance traveled and t represents the time the object has been in motion. How long (to the nearest tenth) will it take the object to move 17 meters?

38. ## math

A ball is dropped from \$405\$ meters and rebounds two-thirds the distance it falls each time it bounces. How many meters will the ball have traveled when it hits the ground the fourth time

39. ## physics

A man walks 40 meters north and turns and walks 60 meters in a direction 30 degrees to the east of north. What is the distance traveled? What is his displacement?

40. ## Math

A model rocket is launched from a roof into a large field. The path the rocket can be modeled by the equation y=-0.04x^2+8.3x+4.3 where x is the horizontal distance in meters, from the starting point on the roof and y is the height in meters, of the rocket

41. ## algebra2 honors

Ann's ride , a piecewise function Ann went on a 10 hour bicycle trip. The table shows selected points on the graph. t-0-1-4-7-10 d (t)- 0-3-5-5-10. Write a function d(t) for her total distance traveled in miles in terms of the time in hours. Please help!

42. ## algebra 2

At 29'C, the speed of sound is about 3.49x10^2 meters per second. Find the distance traveled by sound in one hour.

43. ## Alg 1

Landon is standing in a hole that is 6.5 ft deep. He throws a rock and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y = -0.005x^2 + 0.45x - 6.5, where x is the horizontal

44. ## Chemistry

A cow weighing 1317 slug can yield10% steak. Steak may contain 5.8 % fat. How many milligrams of fat can you get from 0.548 slug of steak? (1 slug = 14.59 kg) Answer in units of mg I started the conversion by converting slugs to kg, but I didn't know what

k. (64 to the root of 3)^4 l. (3 to the root of 4)^-8 f. (5^2/5/^2)^-1/2 4. The radius of a sphere r is given in terms of its volume V by the formula: r=(0.75V/π)^1/3 By how many inches has the radius of a spherical balloon increased when tthe amount of

46. ## Calc 1

The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t^2 − 2t − 15, 1 ≤ t ≤ 7 (a) Find the displacement. (b) Find the distance traveled by the particle during the given time interval.

47. ## math

a car traveling on a straight road at 20 meters per second accelerates to 26 meters per second in 12 seconds. what is the total distance traveled by the car? please help!

48. ## science

If you walk 100 meters forward and then 35 meter backward what is distance traveled and your displacemaent ?

49. ## physics

Can someone help me understand this physics FRQ? It's my hardest subject A lab cart starts at rest in a long hallway. A force acts horizontally on the cart for a distance of 5 meters. This force has a magnitude of 0 Newtons to start and increases uniformly

50. ## Physicis

A rocket initially at rest accelerates at a rate of 99.0 meters/second2. Calculate the distance covered by the rocket if it attains a final velocity of 445 meters/second after 4.50 seconds. A.) 2.50 x 10(2) meters B.) 1.00 x 10(3) meters C.) 5.05 x 10(2)

51. ## Math

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. Assume that an ant’s constant of proportionality is 18. Write an equation to represent the proportional relationship between d and t

52. ## Algebra I

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = –0.02x2 + 2.3x + 6, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of

53. ## pre calc

Suppose you get on a Ferris Wheel that has a diameter of 40 meters and turns at a rate 1.5 revolutions per minute (the period is not 1.5 ) the height above the ground in meters, of your seat after t minutes can be modeled by an equation. Assume you get on

54. ## Math

The distance traveled (in meters) by the Oregon slug can be modeled by the function f(t) = 0.9t, where t is the time in minutes. Find the distance traveled in 27.5 minutes.

55. ## Math

The formula for the velocity of an object is , where v is the velocity of the object, d is the distance traveled, and t is the time elapsed while that distance is traveled. v=d/t distance = speed times time so time in seconds = distance in meters / speed

It is known that an object traveling in straight line with velocity function v(t) = t^2-t, where v is measured in meters per second. Find following. The position function s(t) when we know the position 5 meters after 2 seconds. I tried to work this out and

57. ## physics

a 50g slug is shot from a rifle at 900m/s a) what is the KE of the slug? b) how much work is done on the slug if it starts from rest?

58. ## Science

A 4.0g slug moves at a speed of 3.0cm/min. Hoe much energy would the slug expend in climbing a plant stalk 16cm high? At what rate would this energy be expended? Finally, if the slug’s muscles are only 18% efficient, how much chemical energy must have

59. ## collage algebra

A worm travels at a rate of 0.4 meters per minute. Let t be the number of minutes spent traveling.a)Find the distance d traveled by the worm as a function of t.b)Find the distance traveled by the worm in 2 minutes.

60. ## Algebra 2

Since sound is generated by vibrations and travels in waves it can be modeled by trigonometric functions. When an object vibrates twice as fast, it produces a sound with a pitch one octave higher than before. Amplitude is associated with loudness. Suppose

61. ## science

Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled. a) the displacement is either greater than or equal to the distance traveled b)the displacement is always equal to the

62. ## Calculus

This is the question: A man is running through the woods to a check point as fast as possible. He can get there by traveling east along the trail for 300 meters, and then north through the woods for 800 meters. He can run 160 meters per minute along the

63. ## Calculus

For a given take-off weight, the take-off distance increases if the air temperature increases. For a specific example, if a KC-135 weighs 200,000 lbs, the take-off distance is modeled by f(t)=1/3(t+145)^2 - 67. If D = f(t) , where D is the take-off

64. ## Algebra

"The table shows how far Object 1 traveled as a function of time. ___________________________________ Time (sec)| Distance Traveled (ft) x | y ___________________________________ 2 | 18 4 | 36 6 | 54 8 | 72 ___________________________________ The equation

65. ## Help with Math

The path of a basketball can be modeled by the equation h(d)=-0.13d^2+d+2. where h(d) is the height in meters or the basketball and d is the horizontal distance in meters from the player. How far does the ball travel horizontally before hitting the floor?

66. ## Algebra 2

Te arch of the Sydeny Harbor Bridge can be modeled by y= -0.00211x^2 + 1.06x where x is the distance (in meters) from the left pylons and y is the height (in meters) of the arch above the water. For what distances x is the arch above the road? (It has a

67. ## Algebra 1

Tom claims that because the data pairs (1, 4), (2, 6), (3, 9), and (4, 13.5) have y-value with a common ratio, they are best modeled by a quadratic function. What is his error? Is it supposed to be modeled by an exponential function?

68. ## Math

A cheetah travels at a rate of 90 feet per second. The distance, d, traveled by the cheetah is a function of seconds traveled. Write a rule for the function. How far will the cheetah travel in 25 seconds? Need help within an hour maybe Ok thanks :)

69. ## Multivariable Calculus

Determine the range of a snowball thrown with an initial speed of 6 meters/sec at an angel of elevation of 45 degrees. (Assume g = 9.8 meters/sec) I'm not really sure what I'm supposed to find here, am I supposed to find the horizontal distance or the

70. ## Grammar

Select the correct sentence: A) Their all going to Oregon. B) There all going to Oregon. C) They're all going to Oregon. I answered C, A did not seem right.

71. ## Math

The relationship between the speed of travel and the distance traveled can be described by the equation d=rt where d = distance traveled in miles, r = speed (or rate) of travel in miles per hour, and t = time traveled in hours. Graph this function when the

72. ## algebra 2

gary has walked 305 meters, and continues at a rate of 1 meter per second. Mary has walked 113 meters, and continues at a rate of 3 meters per second. In how many seconds will they have traveled the same distance.

73. ## AP Physics

A bicyclist pedaled at 10 m/s (meters per second) in 20 seconds. What distance was traveled?

74. ## algebra

The formula below can be used to find the distances (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and a represents the acceleration, in meters per second squared. d=vt+1\2at2 A bicycle

75. ## physics

If a bug traveled a distance of 180 meters at a speed of 15 m/s, what was the time?

A person on a bicycle is 100 meters west of a person in a car. the person on the bike starts to ride at 8 meters per second directly east and at the same time the person in the car starts to drive directly north at 18 meters per second. Write the distance

77. ## Grammar and capitalization

Select the sentence with the correct capitalization. A) The Oregon state fair is held in western Oregon. B) The Oregon state fair is held in Western Oregon. C) The Oregon State Fair is held in western Oregon. I answered C

78. ## Mathematics

Two boats A and B left port C at the same time on different routes B traveled on a bearing of 150° and A traveled on the north side of B.when A had traveled 8km and B had traveled 10km. The distance between the two boats was found to be 12km.calculate the

79. ## English

Thank you for your help. I have posted one more time about the use of 'it.' 1. The station is 50 meters away. 2. The station is 50 meters. 3. It is 50 meters away. 4. It is 50 meters. 5. The distance is 50 meters away. 6. The distance is 50 meters.

80. ## Algebra

Use the given information to write a systems of equations, and then solve the system algebraically to answer the question: A car begins at rest and accelerates. Its distance in meters, t, by the formula C(t) =4t^2. A second car, 150 meters ahead, is

81. ## Math

A physics student stands at the top of a hill that has an elevation of 37 meters. He throws a rock and it goes up into the air and then falls back past him and lands on the ground below. the path of the rock can be modeled by the equation y = -0.2x^2 +

82. ## physics

A cyclist is cycling at uniform velocity of 8m/sec for 8 sec then applies brakes and cycle come to rest in next 10 sec. calculate a)Distance traveled by uniform velocity. b)distance traveled by non-uniform velocity c)total distance traveled d)the average

83. ## Physics

a missile is launched off a jet fighter travelling 300 meters per second. it accelerated with a constant acceleration of 100 meters per second. when it has traveled 5000 meters what will its velocity be?

84. ## Algebra 1

A physics student stands on top of a hill that has an elevation of 56 meters. He throws a rock and it goes up into the air and then falls past him and lands on the ground below. The path of the rock can be modeled by the equation - y=-0.04x^2+1.3x+56 where

85. ## Algebra

A physics student stands at the top of hill that has an elevation of 37 meters. He throws a rock and it goes up into the air and then falls back past him and lands on the ground below. The path of the rock can be modeled by the equation y = –0.02x² +

86. ## Algebra

I can't figure this out.. A physics student stands at the top of hill that has an elevation of 37 meters. He throws a rock and it goes up into the air and then falls back past him and lands on the ground below. The path of the rock can be modeled by the

87. ## middle school math

A brick is dropped from the Empire State Building at a height of 324 meters. If you neglect any type of air resistance, what is the distance in meters that the ball falls during the interval between the 8th and 9th second? Gravity falling on an object

88. ## statistics

the breaking distance of a Honda CRV can be approximated by a normal distribution, where the mean is 53 meters and the standard deviation is 3.8 meters. Let x be a random variable that represents a braking distance. Find the probability that a randomly

89. ## pyhsics

A man drops a rock off the side of a cliff, and hears it hit the bottom 2.8 seconds later. If the average speed of sound is 335 m/s, how high is the cliff? I have been able to figure out this much, but I don't know how to solve the problem with the data

90. ## Equation help

A physics student stands at the top of a hill that has an elevation of 56 meters. he throws a rock and it goes up into the air and then falls back past him and lands on the ground below. The path of the rock can be modeled by the equation y=0.04x^2+1.3x+56

91. ## Calc One

The function C(m) = -.41m^2 + 6.7m - 44/ .7m represents Miles Traveled per lb. of CO 2 released as a function of speed(in MPH) for a hyundai Sontana. the domain of this function is [10,90]. A) calculate C'(m) B)find the critical points of C(m). C)Where

92. ## Math

A model rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -8.0x^2 + 12X +25.8, Where x is the horizontal distance, in meters from the starting point on the roof and y is the height, in meters of

93. ## algebra2 honors

Ann's ride , a piecewise function Ann went on a 10 hour bicycle trip. The table shows selected points on the graph. t-0-1-4-7-10 d (t)- 0-3-5-5-10. Write a function d(t) for her total distance traveled in miles in terms of the time in hours. Please help!

94. ## algebra2 honors

Ann's ride , a piecewise function Ann went on a 10 hour bicycle trip. The table shows selected points on the graph. t-0-1-4-7-10 d (t)- 0-3-5-5-10. Write a function d(t) for her total distance traveled in miles in terms of the time in hours. Please help!

95. ## algebra

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.04x + 6.5x + 6.7, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of

96. ## Math

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y= -0.06x^2 + 9.6 x + 5.4 where X is the horizontal distance, in meters from the starting point on the roof and y is the height in meters of

97. ## Algebra

a model rocket is launched from a roof into a large field the path of the rocket can be modeled by the equation y = -0.06x^2 + 9.6 + 5.4 where x is the horizontal distance in meters from the starting point on the roof and y is the height in meters of the

98. ## physics

a car traveled at uniform velocity of 20m/sec for 5 sec the brakes are applied and car retards uniformly and come to rest in further 8 sec.find a)distance traveled in first five sec b)distance traveled after breaks are applied c)total displacement during

99. ## math

describe in words a rule you can use to calculate the distance traveled for any given time o this trip distance traveled = 60mph * given time

100. ## calculus

Suppose a scooter travels at a velocity of v(t)= 8t meters/hour. Then the TOTAL distance traveled by the scooter over the first 2 hours is?