At the sight of grecn signal a car starts with a uniform...

At the sight of grecn signal a car starts with a uniform acceleration of $4 \mathrm{~m} / \mathrm{s}^{2}$. At the same instant a bus travelling with a constant velocity $30 \mathrm{~m} / \mathrm{sec}$ overtakes and passes the car. (i) At what distance from the starting point will the car overtake the bus? (ii) How fast will the car $B$ travelling at that instant?

At the sight of grecn signal a car starts with a uniform acceleration of $4 \mathrm{~m} / \mathrm{s}^{2}$. At the same instant a bus travelling with a constant velocity $30 \mathrm{~m} / \mathrm{sec}$ overtakes and passes the car.
(i) At what distance from the starting point will the car overtake the bus?
(ii) How fast will the car $B$ travelling at that instant?

Key Concepts

Uniformly Accelerated Motion

Uniformly accelerated motion describes the motion of an object when its acceleration remains constant over time. This concept is foundational in physics as it allows the use of specific kinematic equations to calculate parameters such as displacement and final velocity from a known acceleration and time elapsed.

Constant Velocity Motion

Constant velocity motion refers to the scenario where an object moves at a steady speed in a fixed direction, meaning its acceleration is zero. This simplifies the calculation of displacement, as it is directly proportional to the time traveled without any change in speed.

Relative Motion Analysis

Relative motion analysis involves comparing the motions of different objects moving with varying velocities and accelerations. Understanding how to equate displacements or positions to determine points of intersection (such as one object overtaking another) is critical in solving problems where multiple moving objects are involved.

Kinematic Equations

Kinematic equations are mathematical formulas that relate displacement, initial velocity, time, acceleration, and final velocity. These equations are essential tools in solving motion problems, whether the motion is uniformly accelerated or involves constant velocity, by providing a systematic way to connect the various physical quantities.

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