hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t is in seconds.    a) What is the average rate of change for the interval

Q: Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per…

A: In this question we have to find the linear speed in cm per minute.

Q: The ends of a water trough 8 ft long are equilateral triangles whose sides are 2 ft long. If water…

A: Length = 8 feet         Side     = 2         dvdt = 5 ft3/min          h   = 8 inch  = 23…

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

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: When two tangents intersect, the distance between intersection point and the point of tangency for…

A: When two tangents intersect, the distance between the intersection point and the point of tangency…

Q: A drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 14 cm,…

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Q: Two planes, at elevations differing by 144 meters, pass overhead, heading in opposite directions.…

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Q: The radius of a circle is increased from 2.00 to 2.02 m. Express the estimate as a percentage of the…

A: The radius of a circle is increased from 2.00 m to 2.02 m. That is, Now consider the area of the…

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels…

Q: Show that at some instant during a 2-hour automobile trip the car’s speedometer reading will equal…

A: Consider the formula for the average speed.Average speed is overall distance covered over the period…

Q: A certain escalator travels at a rate of 13.4 meters per minute, and its angle of inclination is…

A: So from the triangle we have: Answer(a): Vertical component of the velocity is 6.1667 meters per…

Q: 19. A 6 foot ladder is sliding down a vertical wall at a rate of 1 foot per second. What is the rate…

A:

Q: A 15-meter ladder is resting against a vertical wall. if the bottom of the ladder is being pushed…

A:

Q: A storage tank for butane gas is to be built in the shape of a right circular cylinder of altitude…

A: the volume of the cylinder is given by  v1=πr2h here we have  h=28 feet r=x v1=πx2·28 v1=28πx2

Q: In Exercises 1-8, find the rate of change.

A: We need to find the rate of change of the diameter of a circle with respect to radius.

Q: Suppose the velocity of an object moving along a line is positive. Are displacement and distance…

A:

Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: 3. Each tire of a car has a radius of 40 cm. If the tires are rotafing at 500 revolutions per…

A: The radius of the tires of the car=40 cm Revolution per minute = 500

Q: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

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

A:

Q: The legs of a right triangle are found by measurement to be 15 cm and 8 cm with a possible error of…

A:

Q: An arrow is shot into the air so that its horizontal velocity is 25 feet per second and its vertical…

A: Given : horizontal velocity is 25 feet per second and vertical velocity is 15 feet per second. we…

Q: A 15-meter ladder is resting against a vertical wall, If the bottom of the ladder is being pushed…

A: Let ladder AB, l=15 m, Ladder is pushed horizontally at the rate of 1.5 m/s, ⇒dydt=1.5 We need to…

Q: The vertical distance between the actual value of Y and the estimated value of Y is known as _____.

A:

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

A:

Q: An automobile with 0.310 m radius tires travels 95,000 km before wearing them out. How many…

A: An automobile with 0.310m radius tires travels 95,000km before wearing them out. We have to find how…

Q: What is the average rate of change of the height of water in the vase with respect to the volume of…

A:

Q: A train runs 25 kms at a speed of 30 kms/hr. Then it covers 50 kms at a speed of 40 kms/hr. Then it…

A:

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance…

A:

Q: Assume that lines that appear to be tangent are tangent. What is the value of x? units.

A: Given that:

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

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

Q: a) The edge of a plot of land is in the shape of the arc of a circle having radius 220 feet and…

A: (a) It is given that edge of a plot of land is in the shape of circle with a radius of 220 feet. To…

Q: A ball is thrown at an downward angle of 36.3 deg. from the horizontal at 43.4 m/s from a height of…

A: Explanation: Given that,  h = 36.9 m Downward angle: θ=36.3° vo=43.4 m/s   Concept Used: Horizontal…

Q: The intensity of illumination at any point from a light source is proportional to the square of the…

A: Let k be the coefficient of intensity of weaker light source. The intensity of the stronger light…

Q: A baseball diamond has the shape of a square with sides 90 ft long, as shown. A player is running…

A: A baseball diamond has the shape of a square with sides 90 feet long. A player running from second…

Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy…

A:

Q: What is the image of the horizontal line through the point in under e ?

A:

Q: 11

A: A tangent is a line segment which touches the circle at only one point. A tangent is perpendicular…

Q: A plane can fly 820 Km with the uwind in the Same time that it' can fly 620 Km against the wind. The…

A: We have to find the rate of plane instill air.

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: ular settling tank are: Length 24, Width 6 m and depth 3 m. If 3 hours detention time for tank is…

A: Here the length of the rectangular settling tank L=24 m the breadth of the rectangular settling tank…

Q: a. How fast is the top of the ladder sliding down the wall when the base of the ladder is 12 feet…

A: It is given that the length of ladder is 13 foot which acts as the hypotenuse of the right angled…

Q: 5. must the ball be launched to land 450 ft from the base of the building? A golf ball is hit in a…

A:

Q: Assuming that moving away from the mailbox is the positive direction; if ăn object travels 20 metres…

A: Since you want it immediately solved below  I have explain the steps also  It is basic Physics

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

A:

Q: A train traveling up in inclined of 4° travels a horizontal distance of 4 km. how much altitude has…

A:

Q: 3. From the main entrance of a park, there are two pathways where visitors can walk along going to…

A: Given that  The pathways are both tangent to the garden whose center is 12 m away from the entrance…

Q: A fence 10 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: Given that