To find the velocity of the boy after 7 seconds from the start, you can break down the motion into two parts: the initial 4 seconds and the next 6 seconds.
1. For the first 4 seconds:
- Distance traveled = 40 meters
- Time taken = 4 seconds
You can calculate the velocity for this part using the formula: velocity = distance / time.
Velocity in the first 4 seconds = 40 meters / 4 seconds = 10 m/s
2. For the next 6 seconds:
- Distance traveled = 200 meters
- Time taken = 6 seconds
Calculate the velocity for this part:
Velocity in the next 6 seconds = 200 meters / 6 seconds = 33.33 m/s (rounded to two decimal places)
Now, to find the velocity after 7 seconds, you need to add up the velocities from both parts because velocity is a vector quantity. So,
Total velocity after 7 seconds = Velocity in the first 4 seconds + Velocity in the next 6 seconds
Total velocity after 7 seconds = 10 m/s + 33.33 m/s ≈ 43.33 m/s
The velocity after 7 seconds from the start is approximately 43.33 meters per second.
Answers & Comments
Explanation:
To find the velocity of the boy after 7 seconds from the start, you can break down the motion into two parts: the initial 4 seconds and the next 6 seconds.
1. For the first 4 seconds:
- Distance traveled = 40 meters
- Time taken = 4 seconds
You can calculate the velocity for this part using the formula: velocity = distance / time.
Velocity in the first 4 seconds = 40 meters / 4 seconds = 10 m/s
2. For the next 6 seconds:
- Distance traveled = 200 meters
- Time taken = 6 seconds
Calculate the velocity for this part:
Velocity in the next 6 seconds = 200 meters / 6 seconds = 33.33 m/s (rounded to two decimal places)
Now, to find the velocity after 7 seconds, you need to add up the velocities from both parts because velocity is a vector quantity. So,
Total velocity after 7 seconds = Velocity in the first 4 seconds + Velocity in the next 6 seconds
Total velocity after 7 seconds = 10 m/s + 33.33 m/s ≈ 43.33 m/s
The velocity after 7 seconds from the start is approximately 43.33 meters per second.