a race car completes 10 laps around an oval track. which of the following pairs of quantities concerning its motion would both have values of zero?
a)displacement, avg velocity
B)avg speed, avg acceleration
c)distance, avg speed
d)avg speed, avg velocity
e) displacement, avg speed
my guess is A since its an oval track the person keeps running to the same spot 10 times where they originally started...but i'm not sure why velocity could you explain please?
correct, A. Avg velocity=(finalposition-intialpositon)/time
final and initial postion are the same.
OHH !!! okaaay thankss :) !!
Sure! You're correct that the pair of quantities that would both have values of zero on an oval track is option A) displacement and average velocity.
Displacement refers to the change in position of an object in a specific direction. On an oval track, when a race car completes 10 laps, it eventually returns to its original position, which means the displacement is zero.
Average velocity, on the other hand, is the displacement divided by the total time taken. Since the displacement is zero in this case, the average velocity would also be zero. This is because no matter how fast or slow the race car is, if it returns to its starting point, it hasn't covered any net distance in a particular direction, resulting in a zero average velocity.
In options B), C), D), and E), at least one of the quantities will have a value other than zero because they involve measuring speed, distance, or a combination of both.
Sure! Let's break down each answer choice to understand why certain quantities would be zero.
a) Displacement is the shortest distance between the starting and ending points of an object. Since the race car completes 10 laps around an oval track, it returns to its starting point after each lap. Therefore, the displacement would be zero. Average velocity, on the other hand, is the displacement divided by the time taken. Since displacement is zero, the average velocity would also be zero. So, both displacement and average velocity would have values of zero. Your guess for answer choice A is correct.
b) Average speed is the total distance traveled divided by the total time taken. In this case, the race car completes 10 laps, so it will cover a certain distance during each lap. Therefore, the total distance will not be zero, making the average speed non-zero. Average acceleration is the change in velocity divided by the time taken. Since the race car is completing the laps with a certain velocity, there will be a change in velocity over time. So, average speed and average acceleration would have non-zero values.
c) Distance is the total length of the path traveled by an object. In this case, the race car completes 10 laps, so the total distance covered will be non-zero. Average speed, as mentioned earlier, is the total distance divided by the total time taken. Since the total distance is non-zero, the average speed will also be non-zero.
d) As discussed in answer choice b, average speed and average velocity both have non-zero values. So, answer choice d is incorrect.
e) Displacement, as explained in answer choice a, would be zero because the race car returns to its starting point after each lap. However, average speed is the total distance traveled divided by the total time taken. Since the total distance is non-zero (10 laps), the average speed will have a non-zero value. So, answer choice e is incorrect.
Therefore, the correct answer is option a) Displacement and Average Velocity.
Sure! Let's break down each option to determine which pairs of quantities would both have values of zero.
a) Displacement and average velocity: Displacement refers to the change in position of an object, while average velocity measures the rate at which an object changes its position. In this case, since the race car returns to its original position after completing 10 laps around the oval track, the displacement will be zero. Moreover, the average velocity would also be zero since the displacement divided by the total time taken would yield zero.
b) Average speed and average acceleration: Average speed measures the overall distance covered divided by the total time, while average acceleration measures the rate at which an object changes its velocity. Since the race car returns to its original position, the distance covered would not be zero. Additionally, the average acceleration would also not be zero since the race car undergoes changes in velocity as it completes the laps.
c) Distance and average speed: Distance is the actual length of the path traveled by an object, while average speed measures the overall distance divided by the total time. Since the race car completes 10 laps, the distance covered would be non-zero. Therefore, option c) is incorrect.
d) Average speed and average velocity: We have already established that the average speed would not be zero, as the race car covers a non-zero distance in the given time. The average velocity would also not be zero since displacement/total time would yield zero displacement, but the total time taken is greater than zero.
e) Displacement and average speed: As mentioned earlier, the race car returns to its original position after completing 10 laps, resulting in a displacement of zero. However, the average speed will not be zero because it is calculated by dividing the total distance covered by the total time taken.
Therefore, the correct answer is a) Displacement and average velocity, as both quantities will have values of zero.