During a physical performance evaluation, a candidate covered a distance of 2400 meters in 12 min and consumed a total estimated energy of 160 kcal. Assuming that the energy consumed in this test can be fully used to heat 50 kg of water, whose specific heat is 1 cal/g°C, it is correct to state that the variation in water temperature, in Fahrenheit scale, and the candidate's average speed are, respectively:

A program of physical conditioning for athletes provides for a daily run. On a certain day, an athlete completed 50% of the daily run in the morning. In the afternoon, he ran an additional 2000 meters, completing, in these two periods of the day, 70% of the total daily distance. Under these conditions, the program predicts that the athlete will run daily:

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).

A car on a straight trajectory travels two halves of the same route at different speeds. In the first half of the route, it always travels at 60 km/h. In the other half, it always travels at 40 km/h. Determine the average speed of the total route, in km/h.

João decided to take a car trip to a neighboring city to visit some friends and discuss the importance of using renewable energies and sustainable technologies in their cities. To get to the location, João drove 100 km on a road and then continued on a highway for another 150 km. On the road, he drove at an average speed of 80 km/h, while on the highway, he managed to maintain an average speed of 100 km/h. (a) What was João's total travel time between the road and the highway? (b) What was João's average scalar speed during the entire trip? (c) Discuss how the use of an electric car could impact João's trip and what the possible environmental implications would be.

Question bank: Kinematics: Average Scalar Speed

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