Answer:
The total distance covered during the 25 s is 240 m
Explanation:
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<u>Hi there!</u>
The position and velocity of the train can be calculated using the following equations:
x = x0 + v0 · t + 1/2 · a · t²
v = v0 + a · t
Where:
x = position at time t
x0 = initial position
v0 = initial velocity
t = time
a = acceleration
v = velocity at time t
When the velocity is constant the position equation is reduced to this expression:
x = x0 + v · t Where "v" is the velocity.
First, let´s calculate the distance traveled during the first 10 s:
x = x0 + v0 · t + 1/2 · a · t²
x = 0 m + 0 m/s · 10 s + 1/2 · 1.2 m/s² · (10 s)²
x = 60 m
The velocity reached after 10 s of acceleration will be:
v = v0 + a · t
v = 0 + 1.2 m/s² · 10 s
v = 12 m/s
Now, we can calculate the distance covered during the next 15 s at constant speed:
x = x0 + v · t
x = 60 m + 12 m/s · 15 s
x = 240 m
The total distance covered during the 25 s is 240 m
<u>Have a nice day!</u>
