Answer

Verified

305.7k+ views

**Hint:**The solution to this problem is obtained by utilizing the second equation of motion and also by the speed and direction relationship. Equations of motion are the equations which describe the behavior of a physical system in terms of its motion as a function of time. Three equations of motion derive displacement, velocity and time.

**Complete step-by-step solution:**

Equation of motion is given as:

$s=ut-\dfrac{1}{2}g{{t}^{2}}$ $\cdots \cdots (1)$

Where $u$ = speed when the ball passes the bottom of the window.

t= $\dfrac{1}{2}\sec $ =Time duration for travelling window height one way.

g=$9.8m{{s}^{-2}}$

Substitute these values in equation (1)

$\begin{align}

& 2.45=u\times \dfrac{1}{2}-\dfrac{1}{2}\times 9.8\times {{\dfrac{1}{2}}^{2}} \\

& u=7.35m{{s}^{-1}} \\

\end{align}$

The total height at which the ball rises from the bottom of the window is :

$\begin{align}

& {{s}_{b}}=\dfrac{{{7.35}^{2}}}{2\times 9.8} \\

& {{s}_{b}}=2.75625m \\

\end{align}$

Ball rises $= {{X}_{f}}-{{X}_{i}}=2.75625-2.45 =0.30625$m

So, The height the ball rises from the bottom of the window to the top of the window =0.3m

**The correct option is C**

Additional information: Displacement is defined as the process in which objects' positions are changed and in displacement the initial position of objects are changed. Displacement is also defined as change in initial position of objects to the final position and displacement is denoted as S.

Displacement $S={{X}_{f}}-{{X}_{i}}$

Where \[{{X}_{f}}\] =final position

${{X}_{i}}$ =initial position

Velocity is defined as the rate of change of displacement with respect to time and in kinematics velocity is a fundamental concept.SI unit of velocity is $m{{s}^{-1}}$ velocity tracking is the measure of velocity.

Velocity (v) =$\dfrac{\Delta S}{\Delta t}$

**Note:**Students, the displacement is a vector quantity which has both magnitude and direction and displacement is measured in terms of meters. The dimensional formula of displacement is ${{M}^{0}}{{L}^{1}}{{T}^{0}}$ and displacement plays a very important role while determining velocity (v). Velocity is also a vector quantity.

Recently Updated Pages

Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred

Basicity of sulphurous acid and sulphuric acid are

The branch of science which deals with nature and natural class 10 physics CBSE

What is the stopping potential when the metal with class 12 physics JEE_Main

The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main

How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Write the difference between soap and detergent class 10 chemistry CBSE

Give 10 examples of unisexual and bisexual flowers

Differentiate between calcination and roasting class 11 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the difference between anaerobic aerobic respiration class 10 biology CBSE

a Why did Mendel choose pea plants for his experiments class 10 biology CBSE