The school bus picks up Brian in front of his house and takes him on a straight-

Question

The school bus picks up Brian in front of his house and takes him on a straight-line 2.9 km bus ride to school in the positive direction. He walks home after school. If the front of Brian's house is the origin, (a) what is the position of the school, (b) what is his displacement on the walk home, and (c) what is his displacement due to the combination of the bus journey and his walk home? A jogger is moving at a constant velocity of +3.0 m/s directly towards a traffic light that is 100 meters away. If the traffic light is at the origin, x = 0 m, what is her position after running 20 seconds?

Explanation / Answer

Q2.2.2a). Position of the school is +2.9Km.

Q2.2.2b). The displacement on walk home is (-)2.9km.

Q2.2.2c). The displacement due to the combination of bus journey and walk home is 0km.

Q2.3.2a).

The distance travelled by her in 20s at a speed of 3m/s. = 3 X 20 = 60m.

Distance from the light which is 100m away from the origin is 100m.

Her distance after moving fir 20 s = 100-60 = 40m.

Her position from light is (-)40m as the light position is 0.

Answer is (-)40m.

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