Daniel B. answered • 10/18/23
Tutor
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A retired computer professional to teach math, physics
Let
m = 301,000 kg be the mass,
F = 445,000 N be the breaking force,
a be the resulting decellaration,
v(t) be the velocity at time t; we are given v(0) = 27.0 m/s.
By the definition of decelleration
v(t) = v(0) - at
By Newton's second law
a = F/m
Combining the above two
v(10) = v(0) - 10a = v(0) - 10F/m = 27 - 10×445000/301000 = 12.2 m/s
Daniel B.
tutor
After the dashed line I added a version without combining the equations.
I do not know what notation you use for velocity, but the notation I use is:
v(0) is velocity at time 0,
v(10) is velocity at time 10,
v(t) is velocity at any given time t.
If by "Vi" you mean "initial velocity" then Vi = v(0).
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10/19/23
Lauren M.
Thank you! I do have a question though, is there a way to do it without combining the equations? That is just confusing me. Also, is v(t) = Vi?10/18/23