In large airports, a way to streamline the flow of people is by using horizontal conveyor belts. In one of these airports, there is a 60 m long conveyor belt that moves at a speed of 3 m/s relative to the ground. A man enters the conveyor belt and stands still; five seconds later, a woman enters the conveyor belt and walks on it. These two people meet at the end of the conveyor belt. The average speed that the woman developed during the crossing of the conveyor belt, relative to the ground, is

To solve this question, we need to understand that the woman needs to reach the man who entered the conveyor belt 5 seconds before her. Since the conveyor belt moves at 3 m/s, the man traveled 15 meters (5s x 3m/s) before the woman started moving. Therefore, the woman needs to travel 60 meters (total length of the conveyor belt) while the man travels 45 meters (60m - 15m). Since they meet at the end, both take the same time to travel their respective distances. Therefore, the woman's speed relative to the ground is higher than that of the conveyor belt. If the conveyor belt moves at 3 m/s and the woman needs to travel 15 meters more than the man in the same time, she must move at 1 m/s relative to the conveyor belt. Therefore, the woman's speed relative to the ground is 4 m/s (3 m/s from the conveyor belt + 1 m/s from herself).

During a weekend trip, a family travels by car from Macapá to Porto Grande covering approximately 100 km at an average speed of 100 km/h. In this city, they stop for an hour and continue their journey to Ferreira Gomes, covering another 40 km in 30 minutes. With this data, it can be stated that the average speed (in km/h) developed by the car on the route between Macapá and Ferreira Gomes was:

What is the formula to calculate the average scalar speed?

Alícia lives 15 km away from the school and needs to make this journey by bicycle daily. On her first day making this trip, Alícia noticed that it took her 1h30min to get to school and on the way back, feeling more excited, it took her only 1h. Consider the socio-environmental issues involved in using the bicycle as a means of transportation and answer: (a) What was Alícia's average speed on the way to school? (b) What was Alícia's average speed on the way back home? (c) Knowing that her bicycle has an electric motor, discuss the advantages and disadvantages of this type of technology in relation to environmental and sustainability issues.

A car starts from rest and accelerates uniformly along a straight road. It is known that the distance traveled by the car during the 20-second time interval was 200 meters. Considering the uniformly accelerated rectilinear motion, calculate the average scalar velocity of the car during this time interval. Then, determine what would be the distance traveled by the car if the acceleration remained the same and the time was doubled to 40 seconds. Consider that the car does not change direction and that the acceleration is constant.

Question bank: Kinematics: Average Scalar Speed

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