A body is travelling with a velocity of 5m/s toward the east and changes to 5m/s toward the north in 10 seconds. Find acceleration of the body .
Answers
Given :
- Velocity while going east = 5m/s
- Velocity while going north = 5m/s
- Time taken = 10 seconds
To Find :
- The acceleration of the body
Always Remember:
Here, you may be confused about here that , the acceleration may be zero, as the Velocity are same.
But : Remember that, Velocity is a vector quantity, Hence, it requires the direction also.
Hence, the acceleration also depends upon direction.
Formula To Be Applied :
We will Apply the formula of subtraction of vectors :
Where,
r = magnitude of Resultant vector
a= magnitude of first vector
b = magnitude of second vector
theta = Angle between (a and b)
Solution :
As we know, acceleration = (change of Velocity upon time)
Given, Change in Velocity = Velocity changes from east to north.
Time = 10s
Now, we will calculate vector 'r' , by using the formula as stated .
So, as we got the resultant, now using this we will find the acceleration.
Hence, acceleration = 1/√2 m/s North East
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