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A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second?
Verified Answer
A body travels 10m in first three seconds and 15 m in the next four se...
Let's consider initial velocity is u and acceleration is a and 8th sec velocity is v..
we will this equation S=ut+0.5at2 as shown below
10 = u*3 +0.5 *a*3*3 -----1
25 = u*7 + 0.5*a*7*7 ------2
eq 1 => u=(10-4.5*a)/3
Putting above value in eq 2 we get
25 = ((10-4.5*a)*7)/3 + a*24.5
So, a = 5/42 and u =3.15
Now, v = 3.15 + 5/42(8)
So, v=4.1 m/s
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
A body travels 10m in first three seconds and 15 m in the next four se...
Given information:
- The body travels 10m in the first three seconds.
- The body travels 15m in the next four seconds.
Calculating the average velocity:
To find the velocity at the end of the 8th second, we need to calculate the average velocity for the entire 8-second interval.
Average velocity = Total displacement / Total time
Calculating total displacement:
To calculate the total displacement, we need to add up the distances traveled in the first three seconds and the next four seconds.
Total displacement = Distance traveled in the first three seconds + Distance traveled in the next four seconds
Calculating distance traveled in the first three seconds:
Given that the body travels 10m in the first three seconds.
Distance traveled in the first three seconds = 10m
Calculating distance traveled in the next four seconds:
Given that the body travels 15m in the next four seconds.
Distance traveled in the next four seconds = 15m
Calculating total displacement:
Total displacement = 10m + 15m = 25m
Calculating total time:
The total time is given as 8 seconds.
Total time = 8 seconds
Calculating average velocity:
Average velocity = 25m / 8 seconds
Answer:
The velocity at the end of the 8th second is 3.125 m/s.
Explanation:
- The average velocity is calculated by dividing the total displacement by the total time.
- In this case, the total displacement is obtained by adding up the distances traveled in the first three seconds and the next four seconds.
- The total time is given as 8 seconds.
- Therefore, the average velocity is calculated to be 25m / 8 seconds, which equals 3.125 m/s.
- The body travels 10m in the first three seconds.
- The body travels 15m in the next four seconds.
Calculating the average velocity:
To find the velocity at the end of the 8th second, we need to calculate the average velocity for the entire 8-second interval.
Average velocity = Total displacement / Total time
Calculating total displacement:
To calculate the total displacement, we need to add up the distances traveled in the first three seconds and the next four seconds.
Total displacement = Distance traveled in the first three seconds + Distance traveled in the next four seconds
Calculating distance traveled in the first three seconds:
Given that the body travels 10m in the first three seconds.
Distance traveled in the first three seconds = 10m
Calculating distance traveled in the next four seconds:
Given that the body travels 15m in the next four seconds.
Distance traveled in the next four seconds = 15m
Calculating total displacement:
Total displacement = 10m + 15m = 25m
Calculating total time:
The total time is given as 8 seconds.
Total time = 8 seconds
Calculating average velocity:
Average velocity = 25m / 8 seconds
Answer:
The velocity at the end of the 8th second is 3.125 m/s.
Explanation:
- The average velocity is calculated by dividing the total displacement by the total time.
- In this case, the total displacement is obtained by adding up the distances traveled in the first three seconds and the next four seconds.
- The total time is given as 8 seconds.
- Therefore, the average velocity is calculated to be 25m / 8 seconds, which equals 3.125 m/s.
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A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second?
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A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second?.
A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body travels 10m in first three seconds and 15 m in the next four seconds. What is the velocity at the end of 8th second?.
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