When a train moving west with an initial velocity of 20m/s accelerates 4m/s² for 10 seconds during this time, the train moves a distance of 400 m.
What are the three equations of motion?
There are three equations of motion given by Newton
The first equation is given as follows
v = u + at
the second equation is given as follows
S = ut + 1/2×a×t²
the third equation is given as follows
v² - u² = 2×a×s
Note that these equations are only valid for a uniform acceleration.
where u and v are the initial and final velocity respectively
S is the total distance covered by the object
a is the acceleration of the object
As given in the problem a train moving west with an initial velocity of 20m/s accelerates 4m/s² for 10 seconds by using the second equation of motion
S = ut + 1/2*a*t²
u= 20 m/s , a= 4 m/s² and t = 10 seconds
S = 20*10 + 0.5*4*10²
S = 200+200
S= 400 m
Thus, the train covers a distance of 400 meters.
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