1. Yes, the train break the speed limit because in 6 hours, the train travelled a distance of 576 km. To find the speed of the train in km/h, we divide 576 km and 6 hours which results to 96 km/h. Therefore, the train with the speed of 96 km/h exceeds the 90 km/ h speed limit.
2. The acceleration of the swimmer is 0.16 m/s^2 because if we subtract the final velocity of the swimmer which is 3.1 m/s and the swimmer's initial velocity which is 1.1 m/s, the difference will be 2.1 m/s. To find the acceleration, we divide 2.1 m/s to 13 seconds. So, 2.1 divided by 13 is 0.16. Therefore, the acceleration of the swimmer is 0.16 m/s^2
3. The acceleration of the roller coaster is -5 m/s^2 because if we subtract the final velocity of the roller coaster which is 10 m/s^2 and the initial velocity which is 25 m/s, the difference will be -5 m/s. To find the acceleration of the roller coaster, we divide -15 m/s and 3 seconds which is the time taken. So, -15 divided by 3 is equal to -5. Therefore, the acceleration of the roller coaster is -5 m/s^2.
Answers & Comments
Answer:
1. Yes, the train break the speed limit because in 6 hours, the train travelled a distance of 576 km. To find the speed of the train in km/h, we divide 576 km and 6 hours which results to 96 km/h. Therefore, the train with the speed of 96 km/h exceeds the 90 km/ h speed limit.
2. The acceleration of the swimmer is 0.16 m/s^2 because if we subtract the final velocity of the swimmer which is 3.1 m/s and the swimmer's initial velocity which is 1.1 m/s, the difference will be 2.1 m/s. To find the acceleration, we divide 2.1 m/s to 13 seconds. So, 2.1 divided by 13 is 0.16. Therefore, the acceleration of the swimmer is 0.16 m/s^2
3. The acceleration of the roller coaster is -5 m/s^2 because if we subtract the final velocity of the roller coaster which is 10 m/s^2 and the initial velocity which is 25 m/s, the difference will be -5 m/s. To find the acceleration of the roller coaster, we divide -15 m/s and 3 seconds which is the time taken. So, -15 divided by 3 is equal to -5. Therefore, the acceleration of the roller coaster is -5 m/s^2.