At t = 0, a truck is traveling east at a constant speed of s = 85.9 km/h. At an intersection d = 37.8 km ahead, a car is traveling north at constant speed of v = 58 km/h a.) 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. b.)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. c.)What is the time, in hours, at which the distance between the car and the truck as its minimum value? d.) What is the minimum distance, in kilometers, between the car and the truck?
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.
At t = 0, a truck is traveling east at a constant speed of s = 85.9 km/h. At an intersection d = 37.8 km ahead, a car is traveling north at constant speed of v = 58 km/h
a.) 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.
b.)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.
c.)What is the time, in hours, at which the distance between the car and the truck as its minimum value?
d.) What is the minimum distance, in kilometers, between the car and the truck?
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