Is it possible for you to take a hike and have the distance you cover be equal to the magnitude of your displacement?

Yes, it is possible that the distance can be equal to the displacement. a further explanation is given below.

Thus the above answer is right.

Learn more about distance and displacement here:

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Distance can be equal to displacement ... if the motion is all in a straight line ... but distance can never be greater than displacement.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s