A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h. 160 km/h Sioux Falls 140 km/h At time t = 0, the police car is 50 km north and the truck is 40 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing at t = 5 minutes. (Use decimal notation. Give your answer to three decimal places.)
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at
140 km/h.
160 km/h
Sioux Falls
140 km/h
At time t = 0, the police car is 50 km north and the truck is 40 km east of Sioux Falls.
Calculate the rate at which the distance between the vehicles is changing at t = 5 minutes.
(Use decimal notation. Give your answer to three decimal places.)
rate:
km/h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71278684-2bd0-479b-97e7-267b57cffce8%2F4b47a0f7-37c6-4105-998a-4b23605b8ce8%2Fj20u8yf_processed.png&w=3840&q=75)
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