Chapter 6, Problem 52RE

Lamont walks the 15 meters from the front door of his house to his car at a constant rate of speed. Having forgotten to lock the front door, Lamont runs the 15 meters back to the front door along the same path. His speed running is 2 m/sec faster than his speed walking. If the total time to walk to the car and run back to the door was 8 seconds, what was Lamont’s walking speed?

An airplane flying into a headwind travels the 1500-mile flying distance between two cities in 3 hours. On the return flight, the airplane travels this distance in 2 hours and 30 minutesFind the airspeed of the plane (in mi/g) and the speed of the wind (in mi/h), assuming that both remain constant.

A cannonball is fired directly upward from a height of 0 feet, with an initial velocity of 220 feet per second. The cannon ball will be at a height of 600 feet at 5 seconds. O True O False MacBook Air O00 DII DD F9 F10 F11

A cup of hot coffee initially at 205° F cools to 165° F in 4 min while sitting in a restaurant of temperature 70° F. When the temperature of the coffee will be 120° F?

The altitude (in feet) of a rocket t seconds into flight is given by s = t³ - 3t².

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk 3 miles per hour in the forest and travel 5 miles per hour along the road. In the picture below, the forest ranger walks in a straight line to a point x unit from the end of the road on the left, and then along the road. The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the road. Write the total time T as a function of x, using the letter c for the distance from the end of the road on the left to the car. T(x) = (a) c = 9 miles? (Numerical Answer ONLY) X = K Highway Toward what point on the road should the ranger walk in order to minimize the travel time to the car if... Forest Ranger X = X Car Forest (b) c = 1/5 miles? Remember that the point must lie between the left end of the highway and the car. (Numerical Answer ONLY) Think about the case when c is an arbitrary number of miles.…

Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he runs more slowly. Once the students start running, Khaled will catch up to Ahmed. How long will that take? How far will Khaled have to run?

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