A body is thrown vertically upward with velocity $u$, the greatest height $h$ to which it will rise is,
$(a).\ u/g$
$(b).\ u^2/2g$
$(c).\ u^2/g$
$(d).\ u/2g$
Here, initial velocity $=u$
Maximum height $=h$
At reaching the maximum height, the final velocity $v=0$
On substituting the above values in the equation of motion,
$v^2=u^2+2gh$
$0^2=u^2+2(-g)h$ [The motion of the object is vertically upward, so
$g$ will be negative]
Or $0=u^2-2gh$
Or $u^2=2gh$
Or $h=\frac{u^2}{2g}$
So, option $(b)$ is correct.
Related Articles
- An object is thrown vertically upwards with a velocity u, the greatest height h to which it will rise before falling back is given by:(a) $u/g$(b) $u^2/2g$(c) $u^2/g$(d) $u/2g$
- How many moles are represented by 100 g of glucose, C6H12O6 ?(C = 12 u, H = 1 u, O = 16 u)
- Calculate the number of molecules present in a drop of chloroform (CHCl3) weighing 0.0239 g.(Atomic mass : C = 12 u ; H = 1 u ; Cl = 35.5 u)
- Formula to find the average velocity of a body is given by:$v_{av}=\frac{(u + v)}{2}$$s_n =u + \frac{a}{2}(2n-1)$$s=ut+\frac{1}{2}at^{2}$$v=u+at$
- Calculate the molecular mass of chloroform(CHCl3).(Atomic masses: C = 12 u; H = 1 u; Cl = 35.5 u)
- What mass of nitrogen, N2, will contain the same number of molecules as 1.8 g of water, H2O? (Atomic masses : N = 14 u ; H = 1 u ; O = 16 u)
- Calculate the molecular mass of ethanoic acid, CH3COOH.(Atomic masses : C = 12 u; H = 1 u; O = 16 u)
- The molecular formula of glucose is C6H12O6. Calculate its molecular mass.(Atomic masses: C = 12 u ; H = 1 u ; O = 16 u)
- How many moles of calcium carbonate (CaCO3) are present in 10 g of the substance? (Ca = 40 u ; C = 12 u ; O = 16 u)
- 2. Calculate the formula unit masses of \( \mathrm{ZnO}, \mathrm{Na}_{2} \mathrm{O}, \mathrm{K}_{2} \mathrm{CO}_{x} \) given atomic masses of \( Z n=65 u \), \( N a=23 u, K=39 u, C=12 u . \) and \( O=16 u \).
- Calculate the molecular mass of Nitric acid, HNO3.(Atomic masses: H = 1 u; N = 14 u; O = 16 u)
- Calculate the mole ratio of 240 g of calcium and 240 g of magnesium. (Ca = 40 u ; Mg = 24 u)
- Calculate the formula unit masses of ZnO, Na2O, K2C03, given atomic masses of Zn = 65 u, Na = 23 u, K = 39 u, C = 12 u, and O = 16 u.
- Calculate the molecular masses of the following compounds:(a) Hydrogen sulphide, H2S(b) Carbon disulphide, CS2(Atomic masses: H = 1 u, S = 32 u, C = 12 u)
- Which contains more molecules, 10 g of sulphur dioxide (SO2) or 10 g of oxygen (O2)?(Atomic masses : S = 32 u ; O = 16 u)
Kickstart Your Career
Get certified by completing the course
Get Started