At t = 0, a truck is traveling east at a constant speed of s = 82.3 km/h. At an intersection d = 38.9 km ahead, a car is traveling north at constant speed of v = 45.2 km/h Write an expression for the distance r between the truck and the car as a function of time. Use the variables from the problem statement for your equation.  Write an expression for the time at which the distance between the car and the truck as its minimum value. Use the variables from the problem statement for your equation.  What is the time, in hours, at which the distance between the car and the truck as its minimum value?  What is the minimum distance, in kilometers, between the car and the truck?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 61A
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At t = 0, a truck is traveling east at a constant speed of s = 82.3 km/h. At an intersection d = 38.9 km ahead, a car is traveling north at constant speed of v = 45.2 km/h

Write an expression for the distance r between the truck and the car as a function of time. Use the variables from the problem statement for your equation. 

Write an expression for the time at which the distance between the car and the truck as its minimum value. Use the variables from the problem statement for your equation. 

What is the time, in hours, at which the distance between the car and the truck as its minimum value? 

What is the minimum distance, in kilometers, between the car and the truck? 


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