Two cars start moving from the same point. One travels south at 56 mi/h and the...

Two cars start moving from the same point. One travels south at 56 mi/h and the other travels west at 42 mi/h. At what rate is the distance between the cars increasing three hours later?b\

Expert Solution

milcah answered 2 years ago

Two cars start driving from the same point. One travels north at 30 miles per hour,...

Two cars start driving from the same point. One travels north at 30 miles per hour, and the other travels east at 45 miles per hour. At what rate is the distance between the cars increasing two hours later? (a) Draw a diagram, label quantities. (b) Write rates as derivatives. (c) Find an equation involving the quantities; diﬀerentiate on both sides with respect to t. (d) Plug in known information and solve for the unknown. [As usual, numeric simpliﬁcation not...

1. Two cars are moving on a road and both start at the same place at...

1. Two cars are moving on a road and both start at the same place at time ?=0. The velocity of car number 1 is given by ?1(?)=sin?+1 and the velocity of car number 2 is given by ?2(?)=cos?+1. a. Which car is ahead at ?=?2 ,?=?,?=3?? [3 marks] b. Write down a definite integral which gives the total distance traveled by car number 1 from ?=0 to ?=10. [3 marks] b. Write down a definite integral which gives the...

1. Suppose two automobiles leave from the same point at the same time. If one travels...

1. Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per hour, how fast will the distance between them be changing after 3 hours? 2. Find the critical values of , find the intervals on which f(x)is increasing and decreasing, and any local maximum or minimum values. Critical values? Increasing on? Decreasing on? Max? Min? Please show all work.

Two cars are moving at 60 mph in the same direction and in the same lane....

Two cars are moving at 60 mph in the same direction and in the same lane. The cars are separated by one car length (20 ft) for each 10 mph. The coefficient of friction (skidding) between the tires and the roadway is 0.6. The reaction time is assumed to be 0.5 sec. a) If the lead car hits a parked truck, what is the speed of the second car when it hits the first (stationary) car? b) If the lead...

Two people start at rest from the same point on a circular track of radius R...

Two people start at rest from the same point on a circular track of radius R = 20 m. Person #1 runs counterclockwise around the track with a con- stant angular acceleration of α1 = 0.0010 rad/s2. At the same time, Person #2 runs clockwise around the track with a constant angular acceleration of α2 = 0.0025 rad/s2. Determine the speed of each person when they meet for the first time after they start running. I know from the class...

A) A car travels at a constant speed of 32.5 mi/h (14.5 m/s) on a level...

A) A car travels at a constant speed of 32.5 mi/h (14.5 m/s) on a level circular turn of radius 49.0 m, as shown in the bird's-eye view in figure a. What minimum coefficient of static friction, μs, between the tires and the roadway will allow the car to make the circular turn without sliding? B) At what maximum speed can a car negotiate a turn on a wet road with coefficient of static friction 0.215without sliding out of control?...

A boat leaves a dock at 1pm and travels due South at a speed of 20km/h....

A boat leaves a dock at 1pm and travels due South at a speed of 20km/h. Another boat has been heading due East at 10km/h since 1pm and reaches the same dock at 3:30pm. At what time were the two boats closest together?

A police car is moving at a speed of 20.0 mi/h, its siren emits a sinusoidal...

A police car is moving at a speed of 20.0 mi/h, its siren emits a sinusoidal wave with frequency 5.00×102 Hz to alert Regina Transit bus of a trafic violation. The air temperature is 24.0◦C. a) What is the overall change in frequency heard by the passanger waiting for the bus in the bus stop as the police car aproaches, and moves away from the passanger ? b) What is the wavelength detected by the passenger waiting for the bus...

A 2500-lb automobile is moving at a speed of 35 mi/h when the brakes are fully...

A 2500-lb automobile is moving at a speed of 35 mi/h when the brakes are fully applied, causing all four wheels to skid. a) Determine the time required to stop the automobile on dry pavement (?k = 0.75). (Round the final answer to two decimal places.) b) Determine the time required to stop the automobile on an icy road (?k = 0.10). (Round the final answer to two decimal places.)

An insurance institute conducted tests with crashes of new cars traveling at 6 mi/h. The total...

An insurance institute conducted tests with crashes of new cars traveling at 6 mi/h. The total cost of the damages was found for a simple random sample of the tested cars and listed below. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Do the different measures of center differ very much. 7,424 4,983 8,995 6,449 4,205

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