Maximum horizontal range of a projectile is 400, m . maximum value of height attained by it will be&

English

Gujarati

Hindi

3-2.Motion in Plane

medium

The maximum horizontal range of a projectile is $400\, m$. The maximum value of height attained by it will be ......... $m$

A

$100$

B

$200 $

C

$400$

D

$800$

Solution

(b) ${R_{\max }} = \frac{{{u^2}}}{g}$ $ = 400m$$({\rm{For\, }}\theta = 45^\circ )$

${H_{\max }} = \frac{{{u^2}}}{{2g}} = \frac{{400}}{2} = 200m$ $({\rm{For\, }}\theta = 90^\circ )$

Standard 11

Physics

Share

Similar Questions

If T is the total time of flight, $h$ is the maximum height $ \& R$ is the range for horizontal motion, the $x$ and $y$ co-ordinates of projectile motion and time $t$ are related as

normal

The speed of a projectile at its maximum height is half of its intial speed. The angle of projection is ……… $^o$

medium

(AIPMT-2010)

The velocity of projection of a body is increased by $2 \% .$ Other factors remaining unchanged, what will be the percentage change in the maximum height attained ? (in $\%$)

medium

(AIIMS-2019)

A ball is thrown from a point on ground at some angle of projection. At the same time a bird starts from a point directly above this point of projection at a height $h$ horizontally with speed $u$. Given that in its flight ball just touches the bird at one point. Find the distance on ground where ball strikes

hard

A projectile crosses two walls of equal height $H$ symmetrically as shown If the horizontal distance between the two walls is $d = 120\,\, m$, then the range of the projectile is …….. $m$

hard