Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
A train starts from rest and reaches a speed of 216 km/h in 10 minutes. If its acceleration is uniform, what is the value of the acceleration?
1.0 m/s2
0.6 m/s2
0.1 m/s2
0.4 m/s2
0.1 m/s2
To calculate uniform acceleration, we use the kinematic equation a=tvтИТuтАЛ after converting all units to the SI standard (meters and seconds). The initial velocity is 0┬аm/s, the final velocity 216┬аkm/h converts to 60┬аm/s, and the time of 10┬аminutes equals 600┬аseconds.
To calculate uniform acceleration, we use the kinematic equation a=tvтИТuтАЛ after converting all units to the SI standard (meters and seconds). The initial velocity is 0┬аm/s, the final velocity 216┬аkm/h converts to 60┬аm/s, and the time of 10┬аminutes equals 600┬аseconds.
Think of this like pressing the accelerator of a car gently: if you take a long time (10 minutes) to reach a high speed (216 km/h), your speed increases very slowly, which is why the acceleration value is small.
v=u+at тАФ the first equation of motion for constant acceleration
a=tvтИТuтАЛ тАФ formula to calculate uniform acceleration
Acceleration is defined as the rate of change of velocity per unit time. When the motion is uniform, the rate of change is constant throughout the interval. By converting 216┬аkm/h to SI units using the factor 185тАЛ, we get 216├Ч185тАЛ=60┬аm/s. Dividing this velocity by the time interval of 600┬аs yields 0.1┬аm/s2.
Always ensure velocity is in m/s and time is in s before calculating acceleration in m/s2.
To convert km/h to m/s, multiply by 185тАЛ.
Uniform acceleration implies the velocity increases by the same amount in equal intervals of time.
Using SI units prevents errors in magnitude calculations.
Calculating the performance of high-speed trains (e.g., Vande Bharat Express).
Analyzing braking distances in automotive safety engineering.
Conversion factor: 1┬аkm/h=3600┬аs1000┬аmтАЛ=185тАЛ┬аm/s.
Option A (1.0┬аm/s2) assumes a time of 1 minute; Option B (0.6┬аm/s2) assumes a time of 1.66 minutes; Option D (0.4┬аm/s2) assumes a time of 2.5 minutes.
C is correct тАФ The acceleration is calculated as a=600┬аs60┬аm/sтИТ0┬аm/sтАЛ=0.1┬аm/s2.
Always check for units like 'minutes' vs 'seconds' in physics problems; failure to convert time is the most common cause of errors in competitive exams.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants