Displacement is a vector, meaning that the direction is very important. Displacement is the distance from the starting point to wherever the object is. So a car that does a 500 m lap will have covered 500 m in distance but displacement is zero because, having come back to the starting point, the distance between the starting point and where the object is, is zero.
what is the question then?
Check out the picture I drew for a minute before reading this...
B. Distance [the red line] is a scalar quantity reflecting how far an object has traveled. Displacement [the green line] is a vector quantity reflecting how far an object has moved from a point. The key difference is that distance can be any sort of path while displacement is always a vector (or a straight line) between a starting point and a finishing point. Sometimes distance and displacement are equal to one another. Sometimes you have a distance traveled, but zero displacement overall; which is what's going on in your question.
A. The distance that the racecar traveled is indeed 500m. But at the end of the lap, it is right back where it started. So overall, it has been displaced 0m.
Distance is 500 m, displacement is 0
Distance and displacement are defined in two different ways:
- Distance is the total length of the path covered by an object in motion - so it depends on the path taken. In this problem, the distance travelled by the car corresponds to the length of one lap, which is the length of the track, so 500 m
- Displacement is the distance in a straight line between the final point and the initial point of the motion. This means that displacement does not depend on the path taken, but only on the starting and ending point of the motion. In this problem, the car completes one lap, so the final position of the car is equal to its starting position - therefore the displacement is zero, since the distance between these two points is zero.
a) Displacement = 0 ( as initial and final positions are equal )
b) Distance is 500 m but displacement is 0
Thus displacement is less than distance travelled
A) since he is going around a race track, his initial position is 0m, and his ending position is also 0m, so his displacement is 0. Yes, his distance is 500m, but his displacement is 0, and he did not end up going anywhere for his final position.
B) Distance is total amount traveled, which in this case is 500m, but displacement is 0 as he did not change his position.
(All computations are attached)
1. Read below for explanation
a. Temperature of water
b. Speed of the fish
c. Fish species and unit of measurement
2. 0.000375 grams
a. 0 meters
b. Distance would be 500m while Displacement would be 0 m. (Read below for explanation)
4. 4,950 meters
5. a. Car 1 = 32,500 kg.m/s ; Car 2 = 42,500 kg.m/s
b. Car 2. The mass and velocity is directly proportional to momentum. Car 2 has the higher velocity (mass is equal), which means it would have the higher momentum.
6. -6 m/s²
8. Read below
9. Read below
10. Read below
11. Read below
13. 450 J/kg/°C
15. Read below
16. Take one bulb off.
17. Read below
18. 0.02 A or 20 mA
19. Read below
1.a.The independent variable is the variable that is changed throughout the experiment to see its effect on what is being tested. In this case, to see whether temperature has effect on the speed of the fish, the temperature needs to vary.
1.b The dependent variable is what is being tested, which in this case is the speed of the fish. It is called as such because change is dependent on the independent variable.
1.c. In an experiment, there are other variables that need to be controlled meaning they are held constant to ensure that no other factors influence the results of the experiment. In this case, the type of fish should be held constant because fishes can have different natural speed depending their species. Another would be the unit of measurement of which the speed is being measured. There are different units of speed and all with different increments. In order to take down accurate data, it must be held constant because even with conversions, the slightest difference can change the result of the data.
3.b. When we talk about distance, we refer to the sum of the distance traveled, or the total distance traveled regardless of direction. When we say displacement, it is the distance with regards to a point of reference. In simpler terms, displacement is the straight path from the starting point to the endpoint. In this case, displacement is zero because the starting point is also the end point. So if we measure the distance between each, then it would be zero because he is back to where he started.
8. Newton's first law of motion is the law of inertia it states that an object at rest will remain at rest and an object in motion will stay in motion with the absence of an unbalanced force. When riding in a car, the car is moving forward, since you are on it, you are moving forward with the car as well. If a car suddenly stops, the brakes is applied to the car, but not to you, which means you would continue to move forward. The seat belt is the brakes that is applied on you. It stops you from moving forward.
9. According to the law of acceleration, the acceleration of an object is directly proportional to the force applied and indirectly proportional to the mass of an object. The formula would be:
So in this case, a tennis ball would have less mass than the soccer ball. (The force applied is the same in this scenario). So as the mass increases the acceleration decreases. So the tennis ball would accelerate more than the soccer ball.
10. The gravity of Earth pulls an object towards it continuously at a constant acceleration of 9.8m/s². So when a skydiver jumps out from a certain height, the Earth will pull her down continuously at a rate of 9.8m/s². With each second, her velocity changes. Without any air resistance, the speed will continue to increase.
11. At the highest points of the swing, the child will have its highest potential energy and at the same time, zero kinetic energy. This is because at these two points, the child is at rest. However, as the child swings downwards, its potential energy lessens and kinetic energy increases.
(see attachements for the other explanations)
did it win?