3- A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/hr. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/hr. Find The average speed of the man over the interval of time o to 40 min.

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A:

Q: 2. An Olympic cyclist has reached the final 100 meters of their race, and decides to speed up in an…

A: Using the right Riemann sums for overestimate we get

Q: 5. Two people on bikes are at the same place. One of the bikers starts riding directly north at a…

A: Two people on bikes are at the same place. One of the bikers starts riding directly north at a rate…

Q: A man is riding a car at the rate of 30 kph towards the foot of a monument 6 m high. At what rate is…

A:

Q: 12. Brent is driving west at 60 km/h and Aaron is driving south at 70 km/h. Both cars are…

A: Since the cars are moving towards a point, all the distance are decreasing. So here we don't have to…

Q: 258. A spherical balloon is filled with air at the rate of 2 cu cm/min. Compute the time rate of…

A:

Q: 5. A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: (a) To find: The rate at which they are separating after 2 hours.  Given information: A truck is 300…

Q: A rock breaks loose from the top of a tall cliff. What is its average speed(a) during the first 2…

A:

Q: 10+ a) Mark the two points on the graph that are needed to calculate Average Rate of Change over the…

A: The graph is given as ,

Q: 13. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: Find the average rate of change of the function on the interval specified.  ℎ(?)=5−2?2 on [−2,4]

A:

Q: 3.7 - related rates car traveling north at 40 mi/hr and a truck traveling east at 30 mi/hr leave an…

A: We have given,Speed of car travelling north = 40 miles/hrSpeed of truck travelling east = 30…

Q: 1. One car leaves a given point and travels north at 30 mph. Another car leaves 1 HOUR LATER, and…

A:

Q: Suppose a brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500L of…

A:

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: The data is given with the time interval 0.5.

Q: 1. Suppose a police car drives towards an intersection at a speed of 60 km/h. A red Ferrari drives…

A:

Q: 3 Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A: Given the data:

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

A:

Q: 5. A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: The truck is 300 kms due east of a car and is travelling west at a constant speed of 30km/hr.…

Q: 2. An Olympic cyclist has reached the final 100 meters of their race, and decides to speed up in an…

A: solution

Q: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the…

A:

Q: You make a trip which entails travelling 900 kms. by train at an average speed of 60 km. p.h.: 3000…

A:

Q: Jack and Sally are standing 10 meters from the bottom of a 100-meter ridge. Suddenly, a large stone…

A:

Q: Example 42. A train travels first 300 kilometres at an average rate of 30 k.p.h. and further travels…

A:

Q: Enter the answer in the space provided. As a car comes to a stop, its speed gradually decreases. For…

A: The average rate of change is calculated by ax=fb-fab-a. From the given table, it is observed that…

Q: 1. Suppose a police car drives towards an intersection at a speed of 60 km/h. A red Ferrari drives…

A: The following diagram shows the situation: The police car is at a point P, which is y units away…

Q: 5. A ship is sailing north at 22 km/hr. A second ship sailing east at 16 km/hr crosses the path of…

A: Given,            A ship is sailing north at 22 km/hr. A second ship sailing east at 16 km/hr…

Q: Suppose an arrow is shot upward on the moon with a velocity of 54 m/s, then its height in meters…

A: Given :                      h(t) = 54t - 0.83t2      Now the average velocity in the interval [7,8]…

Q: 21. The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Given:- The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the…

Q: 3. A ball thrown in the air vertically from ground level with initial velocity 18 m/s has height h…

A:

Q: 3. ) The height of a balloon is decreasing at a rate of 2 ft/sec. Lorenzo is skating along a…

A:

Q: A car travels along a straight line at a constant speed of E60.0mi/h for a distance d and then…

A:

Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

A:

Q: b. One airplane is approaching an airport from the north at 206 km/hr. A second airplane approaches…

A:

Q: 1 A police car is at rest and is located 8. mile due west of a street intersection. Another car is…

A: Let the police car be A, it is at rest and located 18 mile due west of a street intersection,…

Q: Exercise 4 Water drains from the conical tank at the rate of 5 fi / min shown as in figure. (i) What…

A:

Q: The marginal revenue of the (n)th box of flash cards sold is 100e-0.001n dollars. Find the revenue…

A: The revenue earned by selling the nth box of flash card is R'n=100e-0.001n Here the boxes are…

Q: 16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: 3. A police cruiser, approaching a right- angled intersection from the north, is chasing a speeding…

A:

Q: Two cars start moving from the same point . One travels south at 48 m/h and the other travels west…

A:

Q: 0 1 v(t) (ft/s) 0.00 33.41 57.91 75.73 89.09 98.00 t (s) 3 4| 5 average acceleration over the first…

A: Given that an accelerating car goes from 0 mph to 66.8 mph in five seconds. Its velocity is given in…

Q: 21. Kimberly is driving west at 70 km/h and Courtney is driving south at 60 km/h. Both cars are…

A: Given: The speed of Kimberly is 70km/h and speed of Courtney is 60km/h, and both are approaching the…

Q: 9. An airplane is flying at a constant altitude of 5km and speed of 300km per hour towards a radar…

A:

Q: 4) A cat is running straight toward a 20 foot tall brick wall at a rate of 4 feet per second.…

A: Consider the provided information, y=25 feeth=4 feetdxdt=20

Q: 4.) A light is placed on the ground 32ft. from a building. A man 6ft, tall walks from the light…

A: Given : A light on the ground is 32 feet away from a building. A 6 foot man is walking from the…

Q: 5) One airplane is approaching an airport from the north at 145 km/hr. A second airplane approaches…

A: When the distance between the airport and the southbound plane is 30 km & the distance between…

Q: 2. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: We will use exponential growth Function Here.

Q: 3. Radar guns measure the rate of distance change between the gun and the object it is measuring.…

A:

Q: 6) A cat is running straight toward a 8 foot tall brick wall at a rate of 4 feet per second.…

A:

Q: 3. A balloon is released from the ground 100 meters from an observer. The balloon rises directly…

A: