Two cars start moving fr km/hr. At what rate is the

Q: 4. The distance travelled by a man driving at the rate of 60 kph

A:

Q: at 20 mi/h. At w

A:

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A:

Q: A man starts walking north at 2 feet per second from a point P. A minute later a woman starts…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

A:

Q: A ladder is 27 feet long and is leaning against the side of a house. The base is moved away at 3 ft…

A: Solution is given below:

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: Given that,

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

A: we know square area, A = a2  , where a = side of square  To find the solution , we will…

Q: Find the rate at which the water level is rising when the water level is 2 cm.

A:

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: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find out distance between the cars

Q: A car traveling at 42 ft/sec decelerates at a constant 44 feet per second per second. How many feet…

A: Given,A car traveling at 42 ft/sec decelerates at a constant 4 feet per second.i.e., initial…

Q: A ladder 25 feet is leaning against a wall. If the foot of the ladder is being pulled away from the…

A: To determine the rate at which the ladder is sliding. Given: Ladder is 25 feet long dx/dt = 14…

Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A:

Q: A man 5.5 feet tall is walking at a rate of 4 feet/sec away from a light that is 24 feet above the…

A:

Q: Assume gravity is 32 ft/s? and no external forces (ex: wind resistance). If you Jump off a 34 ft…

A:

Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

A:

Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5…

A:

Q: At what rate did the temperature rise from 6 a.m. to 12 p.m.?

A: Given, Temperature versus Time graph of a spring day We have to find, at what rate did the…

Q: An airplane at an altitude of 35,000 feet begins descending at a rate of 2,000 feet per minute. How…

A:

Q: A kite 50 ft above the ground is moving horizontally at a rate of 4 ft/s. At what rate is the string…

A: We will be using the trigonometric ratios relating the sides of the triangle formed by strings and…

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: A car traveling at 46 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A:

Q: A certain clock has an hour hand of length 4 in and a minute hand of length 5 in. In inches per…

A: Using law of cosines the distance between tips when the hands are at angle of θ is:…

Q: A car traveling at 46 ft/sec decelerates at a constant 8 feet per second per second. How many feet…

A:

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

A:

Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its…

A:

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: L-at e Crs bt

A:

Q: A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach. If the…

A:

Q: If a car is traveling at 89.7mph, how fast is that in mm/s?

A:

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find distance between two car

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A: Diagram of the given question will be as following x is the distance of the man from pole y is the…

Q: rels west at 20 mi/hr and the travels south at 15mi/hr. At what rate utes after they leave port?

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: What is the rate of the current in miles per hour?

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

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: was an earthquake in South America with magnitude 4.3 that caused only minor damage. How many times…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Consider the sides of the function of time:  The Area is increasing by 49 cm2/s The side increasing…

Q: An impulse of -9 N*sec is applied during 3 seconds to a 2Kg mass, the acceleration is:

A:

Q: If you leave a 100-W light bulb on for a week, how many joules of energy will be consumed?

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Given:Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the…

Q: The wavelength (nm) for a photon with an energy of 2.947 electron-volts is:

A:

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm²/s) is the area of the…

A: RECALL: Area of the square , A= a2 ; where 'a' is the side of the square. Volume of the cylinder,…

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: topic-equations

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.