A person can throw a ball up to a maximum ran | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The maximum horizontal range $R_{\max}$ of a projectile is given by the formula $R_{\max} = \frac{u^2}{g}$,where $u$ is the initial velocity and $

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(B) The maximum horizontal range $R_{\max}$ of a projectile is given by the formula $R_{\max} = \frac{u^2}{g}$,where $u$ is the initial velocity and $g$ is the acceleration due to gravity.Given $R_{\max} = 100 \, m$,we have $\frac{u^2}{g} = 100 \, m$.The maximum height $H_{\max}$ reached by a projectile when thrown vertically upwards is given by $H_{\max} = \frac{u^2}{2g}$.Substituting the value of $\frac{u^2}{g}$ into the height formula:$H_{\max} = \frac{1}{2} 	imes \left(\frac{u^2}{g}ight) = \frac{1}{2} 	imes 100 \, m = 50 \, m$.Therefore,the person can throw the ball to a maximum height of $50 \, m$.

$A$ person can throw a ball up to a maximum range of $100 \, m$. How high above the ground can he throw the same ball (in $, m$)?

Similar Questions

Two projectiles are projected at $30^{\circ}$ and $60^{\circ}$ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:

$A$ body when projected at an angle $\theta$ with the horizontal reaches a maximum height $H$. The time of flight of the body will be ($g=$ acceleration due to gravity).

$A$ body is projected from the earth at an angle of $30^{\circ}$ with the horizontal with some initial velocity. If its range is $20 \ m$, the maximum height reached by it is: (in meters)

$A$ particle is projected with kinetic energy $K$ at an angle of $60^o$ with the horizontal. The kinetic energy of the particle at the maximum height is . . . . . . .

$A$ grasshopper can jump a maximum distance of $1.6 \; m$. It spends a negligible amount of time on the ground. How far can it go in $10 \; s$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module