Projectile motion Quiz 1

Question 1

As depicted in the figure, a projectile is thrown from the ground. The possible path equation is $$ \ $$<img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/e5e1ede3-b21e-4005-8a3b-e38130b13b1b7601594090226891922.png"/>

Accepted Answer

$$\sqrt{3}x-20{{x}^{2}}$$

Answer

$$\sqrt{3}x-10{{x}^{2}}$$

Answer

$$\dfrac{1}{\sqrt{3}}+10{{x}^{2}}$$

Answer

$$\dfrac{1}{\sqrt{3}}-20{{x}^{2}}$$

Question 2

A ball is thrown from a building of height $$H$$ with an angle $$	heta $$ as shown in figure. Time taken by ball to reach the ground is $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/c97ea5b0-fc73-46fc-84cf-6efeb6c524d5926356231817973964.png"/>

Accepted Answer

$$\dfrac{V\sin 	heta \pm \sqrt{{{V}^{2}}{{\sin }^{2}}	heta +20H}}{10}$$

Answer

$$\sqrt{V\sin 	heta gH}$$

Answer

$$\dfrac{V\cos 	heta \pm \sqrt{{{V}^{2}}{{\cos }^{2}}	heta +20H}}{10}$$

Answer

$$\dfrac{V\sin 	heta +\sqrt{{{V}^{2}}{{\cos }^{2}}	heta +20H}}{10}$$

Question 3

A vehicle is travelling at a speed of $$1\,m/s$$. A man sees a child and throws chocolates for him at a speed of $$10\,m/s$$ at a horizontal angle of $$30^\circ $$. The distance travelled by chocolate until it reaches the child is

Accepted Answer

$$9.66\,m$$

Answer

$$4.32\,m$$

Answer

$$2.16\,m$$

Answer

$$5\,m$$

Question 4

An object of man $$m$$ is thrown from height $$H$$ with velocity of $$\sqrt{gH}$$ $$ \ $$ in case $$\left( 1 ight)$$ and with zero in case $$ \ $$ $$\left( 2 ight)$$. Ratio of time taken to reach a round is $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/c05d6d6c-6c7d-4052-99b5-29c0b851d2ad4321134997252119941.png"/>

Accepted Answer

$$1:1$$

Answer

$$\sqrt{gH}:1$$

Answer

$$1:\sqrt{gH}$$

Answer

None of these

Question 5

As seen in Figure, two identical balls of mass $$m$$ are projected towards each other at the same speed $$V=10\,m/s$$. What is the amount of time taken by them before they collide? $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/5dc81468-eed4-4604-91e3-069add7508984690531370624814458.png"/>

Accepted Answer

$$0.5\sec $$

Answer

$$1\sec $$

Answer

$$2\sec $$

Answer

$$0.25\sec $$