A body is projected vertically up with velocity u. Its velocity at half its maximum height is?
Step 1: Given data
A body is projected vertically up with velocity u
Step 2: Formula used
Step 3: Calculating velocity at half its maximum height
Use the third kinematical equation to determine the velocity of the body at half of its maximum height as follows,
The acceleration produced in a body propelled upward is called acceleration owing to gravity. Assuming that the upward direction is positive, the acceleration owing to gravity has a negative sign because it acts in the downward direction.
Therefore, the above equation becomes
As we need to determine the velocity at half of the maximum height, substitute
Substituting the value of in equation (i)
Hence, option B is the correct answer.