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If a train travelling with a velocity of 20┬аm/s undergoes a uniform acceleration of 4┬аm/s2, what is the value of its velocity in 5┬аseconds?
40 m/s
80 m/s
16 m/s
60 m/s
40 m/s
To find the final velocity of the train, we apply the first equation of motion, v=u+at. Given an initial velocity u=20m/s, acceleration a=4m/s2, and time t=5s, the final velocity v is calculated as 20+(4├Ч5)=40m/s.
To find the final velocity of the train, we apply the first equation of motion, v=u+at. Given an initial velocity u=20m/s, acceleration a=4m/s2, and time t=5s, the final velocity v is calculated as 20+(4├Ч5)=40m/s.
Think of it like a car starting at a steady cruise and then pressing the gas pedal; for every second you accelerate, your speed increases by the set amount, eventually reaching a higher speed.
Remember 'UVAT' (U + VAT): The final velocity v is equal to the Initial velocity u plus the product of Acceleration a and Time t.
v=u+at тАФ First equation of motion for uniform acceleration
The motion follows Newton's equations of motion for constant uniform acceleration. Acceleration is defined as the rate of change of velocity per unit time, expressed as a=tvтИТuтАЛ. By rearranging this to solve for the final velocity v, we derive v=u+at, where u is the initial velocity, a is acceleration, and t is the elapsed time.
Uniform acceleration implies that the velocity changes by an equal amount in equal intervals of time.
The SI unit of velocity is m/s and the SI unit of acceleration is m/s2.
In this calculation, the positive sign for acceleration indicates that the velocity is increasing (speeding up).
Uniform acceleration allows for predictable motion patterns.
Simple linear equations accurately model basic kinematic scenarios.
This model assumes no air resistance or friction, which would exist in real-world train scenarios.
Railway signaling and braking distance calculation
Physics education and fundamental kinematic problem-solving
Initial velocity (u) = 20m/s
Acceleration (a) = 4m/s2
Time (t) = 5s
Option B (80 m/s), Option C (16 m/s), and Option D (60 m/s) are incorrect because they result from incorrect arithmetic operations (e.g., adding/multiplying variables improperly).
A is correct тАФ The final velocity calculated using the formula v=u+at is 40m/s.
Always ensure your units are consistent (e.g., seconds, meters) before plugging them into kinematics equations to avoid errors.
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