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A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is?
Most Upvoted Answer
A body is moving with velocity 30m/s towards East.after 10 seconds it'...
Initial velocity = The velocity in east direction = 30i , where i is unit vector along x axis.
Final velocity = The velocity in north direction = 40j , where j is unit vector along y axis.
Average acceleration = { (root over(302+402))/10} m/s2
= 5 m/s2 in north east direction!
Community Answer
A body is moving with velocity 30m/s towards East.after 10 seconds it'...
Given information:
The body is initially moving with a velocity of 30 m/s towards the East. After 10 seconds, its velocity becomes 40 m/s towards the North.
Calculating average acceleration:
Acceleration is defined as the rate of change of velocity. The average acceleration can be calculated using the formula:
Average acceleration = (change in velocity) / (time taken)
To calculate the change in velocity, we need to find the vector sum of the initial and final velocities. Since the velocities are in different directions, we need to use vector addition.
Step 1: Finding the change in velocity:
The initial velocity is 30 m/s towards the East, and the final velocity is 40 m/s towards the North.
To find the change in velocity, we can use the Pythagorean theorem:
Change in velocity = √[(final velocity)^2 + (initial velocity)^2]
Plugging in the values:
Change in velocity = √[(40^2) + (30^2)]
= √[1600 + 900]
= √2500
= 50 m/s
Step 2: Finding the time taken:
The time taken is given as 10 seconds.
Step 3: Calculating average acceleration:
Using the formula:
Average acceleration = (change in velocity) / (time taken)
= 50 m/s / 10 s
= 5 m/s^2
Therefore, the average acceleration of the body is 5 m/s^2.
Explanation:
Acceleration is a vector quantity that measures the rate of change of velocity. In this case, the body initially moves with a velocity of 30 m/s towards the East. After 10 seconds, its velocity changes to 40 m/s towards the North.
To calculate the average acceleration, we need to find the change in velocity and the time taken. The change in velocity is determined by finding the vector sum of the initial and final velocities. The time taken is given as 10 seconds.
By plugging in the values into the formula for average acceleration, we find that the average acceleration of the body is 5 m/s^2.
This means that the body's velocity is increasing by 5 m/s every second. The direction of the acceleration is not specified in the question, so we can assume it to be in the direction of the change in velocity, which is towards the North.
The body is initially moving with a velocity of 30 m/s towards the East. After 10 seconds, its velocity becomes 40 m/s towards the North.
Calculating average acceleration:
Acceleration is defined as the rate of change of velocity. The average acceleration can be calculated using the formula:
Average acceleration = (change in velocity) / (time taken)
To calculate the change in velocity, we need to find the vector sum of the initial and final velocities. Since the velocities are in different directions, we need to use vector addition.
Step 1: Finding the change in velocity:
The initial velocity is 30 m/s towards the East, and the final velocity is 40 m/s towards the North.
To find the change in velocity, we can use the Pythagorean theorem:
Change in velocity = √[(final velocity)^2 + (initial velocity)^2]
Plugging in the values:
Change in velocity = √[(40^2) + (30^2)]
= √[1600 + 900]
= √2500
= 50 m/s
Step 2: Finding the time taken:
The time taken is given as 10 seconds.
Step 3: Calculating average acceleration:
Using the formula:
Average acceleration = (change in velocity) / (time taken)
= 50 m/s / 10 s
= 5 m/s^2
Therefore, the average acceleration of the body is 5 m/s^2.
Explanation:
Acceleration is a vector quantity that measures the rate of change of velocity. In this case, the body initially moves with a velocity of 30 m/s towards the East. After 10 seconds, its velocity changes to 40 m/s towards the North.
To calculate the average acceleration, we need to find the change in velocity and the time taken. The change in velocity is determined by finding the vector sum of the initial and final velocities. The time taken is given as 10 seconds.
By plugging in the values into the formula for average acceleration, we find that the average acceleration of the body is 5 m/s^2.
This means that the body's velocity is increasing by 5 m/s every second. The direction of the acceleration is not specified in the question, so we can assume it to be in the direction of the change in velocity, which is towards the North.
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A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is?
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A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is?.
A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is moving with velocity 30m/s towards East.after 10 seconds it's velocity becomes 40 m)s towards North. the average acceleration of the body is?.
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