Question

Rank these throws based on the amount of time it takes the ball to hit the ground.

Rank from largest to smallest. To rank items as equivalent, overlap them.
10 m/s 60 degree angle
15 m/s 45 degree angle
20 m/ s 0 degree
10 m/s 90 degree angle
15 m/s 30 degree angle
15 m/s 60 degree angle

Answer 1

The time it takes for a projectile to hit the ground depends on its launch angle and initial speed. By analyzing the vertical component of motion, we can rank the throws based on time of flight. The ball thrown with a 90 degree angle will take the longest to hit the ground, followed by the ball with a 60 degree angle, the ball with a 45 degree angle, and so on. The ball thrown horizontally will hit the ground instantly.

Step-by-step explanation:

Ranking the throws based on time to hit the ground:

1. 10 m/s with a 90 degree angle
2. 10 m/s with a 60 degree angle
3. 15 m/s with a 45 degree angle
4. 20 m/s with a 0 degree angle
5. 15 m/s with a 30 degree angle
6. 15 m/s with a 60 degree angle

The time it takes for a projectile to hit the ground can be determined by analyzing the vertical component of its motion. The ball with a 90 degree angle will have the longest time of flight, as it is launched straight up and then comes straight down. The ball with a 60 degree angle comes straight down as well, but it has a higher initial speed, resulting in a shorter time of flight compared to the ball with a 90 degree angle. Similarly, the ball with a 45 degree angle will have a shorter time of flight than the two previous balls. The ball with a 0 degree angle is launched horizontally, so it has no vertical component of motion and will hit the ground instantly. The balls with 30 and 60 degree angles have the shortest time of flight out of all the given throws.