Displacement and distance Quiz 1

Question 1

A particle begins its journey at $$A$$ and travels in a circular path with radius $$R$$, making $$\angle AOC=60^\circ $$ at point $$C$$. Particle displacement is defined as, $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/490f07f9-4283-48d5-8faf-fc82acf3ed9c2073596394896249644.png"/>

Accepted Answer

$$1\,m$$

Answer

$$\sqrt{3 m}$$

Answer

$$\dfrac{2}{\sqrt{3}}\,m$$

Answer

$$\dfrac{\sqrt{3}}{2}\,m$$

Question 2

From $$V-t$$ graph,calculate the distance travelled by particle from $$0-6$$ sec. <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/bea4876b-0ee9-4f7d-817a-9cc0d32e3d3b1403592362870348186.png"/>

Accepted Answer

$$12m$$

Answer

$$4m$$

Answer

$$8m$$

Answer

None of these

Question 3

A man on a day follows a sinusoidal direction to perform a magic trick as $$Y=\sin \left( \dfrac{2}{\pi }t \right)$$ where $$t$$ is in sec, and the displacement of the man from $$t=0$$ to $$\dfrac{{{\pi }^{2}}}{6}$$ sec is:

Accepted Answer

$$\dfrac{\sqrt{3}}{2}$$

Answer

$$\dfrac{\sqrt{3}}{2}-1$$

Answer

$$\dfrac{1}{2}$$

Answer

$$-\dfrac{1}{2}$$

Question 4

On a random day, a boy starts walking west and after $$5$$ metre, he turns right and walks straight for $$7$$ metre. He takes a right again and travels $$2$$ meters straight. Finally, he turns right and travels $$3$$ metres straight stops. How far is he from the starting point?

Accepted Answer

$$5\,m$$

Answer

$$7\,m$$

Answer

$$12\,m$$

Answer

zero

Question 5

From $$V-t$$ graph the value of displacement during $$0-5$$ sec is $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/27b1f5ef-816b-48ec-b474-083c1ac0e15b6307830951404832735.png"/>

Accepted Answer

$$+2\,m$$

Answer

zero

Answer

$$-2\,m$$

Answer

$$+4\,m$$