A body starting from rest and moving along a straight line...

A body starting from rest and moving along a straight line with uniform acceleration attains a speed of $10 \mathrm{~m} \mathrm{~s}^{-1}$ in 2 s. The distance travelled by this body in the first $4 \mathrm{~s}$ of its motion will be (a) $10 \mathrm{~m}$ (b) $20 \mathrm{~m}$ (c) $30 \mathrm{~m}$ (d) $40 \mathrm{~m}$

A body starting from rest and moving along a straight line with uniform acceleration attains a speed of $10 \mathrm{~m} \mathrm{~s}^{-1}$ in 2
s. The distance travelled by this body in the first $4 \mathrm{~s}$ of its motion will be
(a) $10 \mathrm{~m}$
(b) $20 \mathrm{~m}$
(c) $30 \mathrm{~m}$
(d) $40 \mathrm{~m}$

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Key Concepts

Uniform Acceleration

Uniform acceleration means that an object's velocity changes by the same amount in each equal time interval. This concept is fundamental in kinematics because it allows for the use of specific equations to describe motion, making it easier to predict an object's position and speed over time.

Kinematic Equations

Kinematic equations are a set of formulas used to describe the motion of objects under constant acceleration. They relate displacement, initial velocity, final velocity, acceleration, and time. An example is the equation s = ut + ½at², which is essential for calculating how far an object travels when its acceleration is known.

Initial Conditions and Acceleration Calculation

Initial conditions, such as starting from rest, provide a basis for solving motion problems. When an object starts from rest, its initial velocity is zero, which simplifies calculations. The acceleration can be determined by dividing the change in velocity by time, and this computed acceleration is then used in the kinematic equations to find displacement.

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