In Fig. 2-27, a red car and a green car, identical except...

In Fig. $2-27$, a red car and a green car, identical except for the color, move toward cach other in adjacent lancs and parallcl to an $x$ axis. At time $t=0,$ the red car is at $x_{r}=0$ and the green car is at $x_{i r}=220 \mathrm{~m}$. If the red car has a constant velocity of $20 \mathrm{~km} / \mathrm{h},$ the cars pass cach other at $x=44.5 \mathrm{~m}$, and if it has a constant velocity of $40 \mathrm{~km} / \mathrm{h},$ they pass each other at $x=76.6 \mathrm{~m}$. What are (a) the initial velocity and (b) the constant acceleration of the green car?

Key Concepts

Uniform Motion

Uniform motion refers to movement at a constant velocity, implying that the object covers equal distances in equal intervals of time with zero acceleration, which is critical for setting up initial conditions in motion problems.

Uniformly Accelerated Motion

Uniformly accelerated motion describes motion in which the acceleration remains constant over time. The kinematic equations that relate displacement, velocity, acceleration, and time in this context are essential for solving problems where objects change their speed.

Kinematics

Kinematics is the branch of mechanics that deals with the description of motion, focusing on parameters like displacement, velocity, and acceleration without considering the forces that cause the motion.

Relative Motion

Relative motion involves analyzing the movement of one object as observed from another moving object. This concept simplifies the problem by allowing one to work in a reference frame where one of the objects is at rest or has simplified motion.

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