PQ: Position-Time Graphs

Question 1

Question 1: Two friends start walking on a football field in the same direction. Person A walks twice as fast as Person B. However person B has a head start of 20.0m. If person A walks at 3.0m/s find the distance between the two friends after walking for 20.0s and determine who is ahead this time. Sketch a position time graph.

Answer 1

10m A is ahead

Question 2

Question 2: A camper kayaks 16km [E] from a camping site and stops and then paddles 23km [W]. What is the campers final position with respect to the campsite.

Answer 2

7 km [W]

Question 3

Question 4: Two children on racing bikes from the same reference point. Child A travels 5.0m/s [right] and Child B travels 4.5 m/s [right]. How much farther from the point of origin is Child A and Child B after 5.0s.

Answer 3

2.5m [right]

Question 4

Question 5: Insect A moves 5.0 m/min and insect B moves 9.0 cm/s . Determine which insect is ahead and by how much after 3.0 mins. Assume both insects are moving in the same direction.

Answer 4

Insect B is ahead by 1.2 m

Question 5

Question 7: A mosquito flies towards you with a velocity of 2.4km/h [E]. If a distance of 35.0m separates you and the mosquito initially, at what point (distance and time) will the mosquito hit your glasses if you are travelling towards the mosquito with a speed of 2.0m/s [N] and the mosquito is travelling in a straight path.

Answer 5

Distance 26m

Time 13s

Question 6

Two vehicles separated by a distance of 450m, travel in opposite directions toward a traffic light. When will the vehicle pass one another if vehicle A is travelling 35km/h and is 300m [E] of the traffic light while vehicle B is travelling at 40km/h. When will each vehicle pass the traffic light? Assume light remains green the entire time.

Answer 6

Time 20s

Displacement 45m [N}