Question

# A body is thrown vertically upward with velocity $$u$$, the greatest height $$h$$ to which it will rise is,

A
ug
B
u22g
C
u2g
D
u2g

Solution

## The correct option is B $$\dfrac{u^{2}}{2g}$$Given, initial velocity = u, height = h and a = g (acceleration due to gravity)At the highest point, final velocity becomes zero i.e., v = 0From, third equation of motion,$$v^2=u^2-2gh$$$$0=u^2-2gh$$$$u^2=2gh$$$$h=\dfrac{u^2}{2g}$$Physics

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