Question

In: Advanced Math

police car is traveling south towards the intersection that a robber’s car has just crossed traveling...

  1. police car is traveling south towards the intersection that a robber’s car has just crossed traveling east. The robber’s car is currently traveling 55 mph. The police car’s speed is currently 63 mph. How is the distance between the cars changing when the cop is 1.2 miles from the intersection, and the robber is .5 miles from it? Be sure to answer in a complete sentence.

2. In calm water, an oil spill spreads out in a circular fashion. Suppose the radius, r, of the spill is increasing by 3 feet per minute. How fast is the area, A, of the spill growing when the radius is 10 feet? Be sure to answer in a complete sentence.

3. We want to construct a box whose base is length is 5 times the width.  The material used to build the top and bottom cost $9 per sq. ft. and the material used to build the sides cost $7 per sq. ft.  If the box must have a volume of 75 cu. ft., determine the dimensions that will minimize the cost to build the box.

Solutions

Expert Solution


Related Solutions

Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection...
Joe leaves an intersection traveling west in his car. He is 20 feet from the intersection 4 seconds later. At the same time, Joshua leaves the intersection heading north in his car so that his position 4 seconds later is 26 feet from the intersection. If, at that instant time, Joe's speed is 8 feet per second and Joshuas' speed is 12 feet per second, find the rate at which the distance between the two cars is changing to the...
A car with a mass of 980 kg is initially traveling east toward an intersection with...
A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of vc = 19.6 m/s and a 1500 kg pickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (car and truck) moves off in a direction of 35.0° above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage. a.   initial...
A car with a mass of 980 kg is initially traveling east toward an intersection with...
A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of vc = 18.8 m/s and a 1500 kg pickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (car and truck) moves off in a direction of 45.0° above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage. initial speed...
An unmarked police car traveling a constant 80.0 km/h is passed by a speeder traveling 135...
An unmarked police car traveling a constant 80.0 km/h is passed by a speeder traveling 135 km/h . Precisely 2.00 s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 1.60 m/s2 , how much time passes before the police car overtakes the speeder after the speeder passes (assumed moving at constant speed)?
An unmarked police car traveling a constant 95 km/hr is passed by a speeder traveling 135...
An unmarked police car traveling a constant 95 km/hr is passed by a speeder traveling 135 km/hr. Precisely 1.00 s after the speeder passes, the police officer steps on the accelerator; if the police car’s acceleration is 2.00 m/s2 , how much time passes before the police car overtakes the speeder (assumed moving at constant speed)?
An unmarked police car traveling a constant 95km/h is passed by a speeder traveling 133km/h ....
An unmarked police car traveling a constant 95km/h is passed by a speeder traveling 133km/h . Precisely 1.00 s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 2.50m/s2 , how much time passes after the police car is passed by a speeder and before the police car overtakes the speeder (assumed moving at constant speed)?
An ambulance is traveling south at 50 m/s, away from a car that is traveling north...
An ambulance is traveling south at 50 m/s, away from a car that is traveling north at 30 m/s. The ambulance driver hears his siren at a frequency of 750 Hz. The velocity of sound is 343 m/s . What frequency (in Hz) does the driver of the car hear the siren?
A police car sounding a siren with a frequency of 1550 Hz is traveling at 130...
A police car sounding a siren with a frequency of 1550 Hz is traveling at 130 km/h . What frequencies does an observer standing next to the road hear as the car approaches? As it recedes? What frequencies are heard in a car traveling at 90.0 km/h in the opposite direction before and after passing the police car? For both approaching and receding The police car passes a car traveling in the same direction at 80.0 km/h. What two frequencies...
A 1600 kg sedan goes through a wide intersection traveling from north to south when it...
A 1600 kg sedan goes through a wide intersection traveling from north to south when it is hit by a 2000 kg SUV traveling from east to west. The two cars become enmeshed due to the impact and slide as one thereafter. On-the-scene measurements show that the coefficient of kinetic friction between the tires of these cars and the pavement is 0.750, and the cars slide to a halt at a point 5.30 m west and 6.31 m south of...
A police cruiser, approaching a right-angled intersection from the north, is chasing a speeding car that...
A police cruiser, approaching a right-angled intersection from the north, is chasing a speeding car that has turned the corner and is now moving straight east. When the cruiser is 1 mi north of the intersection and the car is 1 mi to the east, the police determine with radar that the distance between them and the car is increasing at    2–√     mph. If the cruiser is moving at 60 mph at the instant of measurement, what is the speed of the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT