An ant crawls from its initial position ( -2 m, 4 m,-3 m) to fina… - Vidyadip

Question

An ant crawls from its initial position ( $-2 m$, $4 m,-3 m)$ to final position $(6 m,-2 m,-3 m)$. What will be its displacement?

✓

Answer

It is given :
$\begin{array}{l}
\vec{r}_1=-2 \hat{i}+4 \hat{j}-3 \hat{k} \\
\overrightarrow{r_2}=6 \hat{i}-2 \hat{j}-3 \hat{k}
\end{array}$
Displacement,
$\begin{aligned}
\overrightarrow{\Delta r} & =\overrightarrow{r_2}-\overrightarrow{r_1} \\
& =6 \hat{i}-2 \hat{j}-3 \hat{k}+2 \hat{i}-4 \hat{j}+3 \hat{k} \\
\overrightarrow{\Delta r} & =8 \hat{i}-6 \hat{j}
\end{aligned}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" from PART - 1 CH - 3 Motion in a Plane→PART - 1 CH - 3 Motion in a Plane — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Solve the previous problem if the lead piece is fastened on the top surface of the block and the block is to float with its upper surface just dipping into water.

Name the weakest and strongest force in nature.

A ball is thrown straight up. What is its velocity and acceleration at the top?

A cube of iron (density $=8000 \mathrm{~kg} \mathrm{~m}^{-3}$, specific heat capacity $=470 \mathrm{Jg}^{-1} \mathrm{~K}^{-1}$ ) is heated to a high temperature and is placed on a large block of ice at $0^{\circ} \mathrm{C}$. The cube melts the ice below it, displaces the water and sinks. In the final equilibrium position, its upper surface just goes inside the ice. Calculate the initial temperature of the cube. Neglect any loss of heat outside the ice and the cube. The density of ice $=900 \mathrm{~kg} \mathrm{~m}^{-3}$ and the latent heat of fusion of ice = $3.36 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}$.

When several passengers are standing in a moving bus, it is said to be dangerous. How will you justify this statement?

Consider the situation described in the previous problem. Show that the force on the sphere due to the light falling on it is the same even if the sphere is not perfectly absorbing.

Which components remains constant in the instantaneous velocity components $v_x, v_y$ and in acceleration components $a_x, a_y$ of a projectile?

An observer on the seashore sees waves reaching the shore, what type of waves does the observer see? Why?

What are ideal gases?

Fill in the blanks using the word(s) from the list appended with statement: Surface tension of liquids generally . . . with temperatures. (increases/ decreases)