Can someone help me with this *WORD problem*? Thank you!?

Question

Linda is riding in a train that is moving east at a constant rate of 30 m/s. All of the following should be answered relative to the ground.

Problem 1: If Linda is walking towards the back of the train at 2.0 m/s, how far does she move in 2.0 sec.?

Problem 2: If Linda is walking towards the front of the train at 2.0 m/s, how far does she move in 2.0 sec.?

Thank you so much.

Answer 1

Problem 1: If Linda is walking towards the back of the train at 2.0 m/s, how far does she move in 2.0 sec.?

Linda is mowing west at 2m/s while the train is moving east at 30m/s

Relative to train her speed is 2m/s and her displacement is

D=vt= 2.0 x 2.0= 4 m toward the back of the train(relative to the train)

Relative to the ground the speed is  Vt=V1+V2

Vt= 30 - 2 = 28.0 m/s

Relative to the ground

D= 28.0 x 2.0 = 56m

2. Similarly is the solution to Problem 2.

V2 = +2.0m/s since Linda is also moving eastward.

Relative to train her speed is 2m/s and her displacement is

D=vt= 2.0 x 2.0= 4 m towards the front of the train (relative to the train)

Relative to the ground the speed is  Vt=V1+V2

Vt= 30 + 2 = 32.0 m/s

Relative to the ground

D= 32.0 x 2.0 = 64m East