A projectile is fired at 30^{circ} to the hor | vedclass

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

Question

(B) Given the vertical component of velocity $u_y = u \sin 	heta = 80 \; ms^{-1}$ and $	heta = 30^{\circ}$.Since $\sin 30^{\circ} = 0.5$,we have $u

Vedclass · Accepted Answer

$80\sqrt{3} \; ms^{-1}$

Vedclass · Answer

(B) Given the vertical component of velocity $u_y = u \sin 	heta = 80 \; ms^{-1}$ and $	heta = 30^{\circ}$.Since $\sin 30^{\circ} = 0.5$,we have $u = \frac{80}{0.5} = 160 \; ms^{-1}$.The horizontal component of velocity is $u_x = u \cos 	heta = 160 \cos 30^{\circ} = 160 	imes \frac{\sqrt{3}}{2} = 80\sqrt{3} \; ms^{-1}$.At time $t = \frac{T}{2}$,the projectile is at its maximum height,where the vertical component of velocity $v_y = 0$.Therefore,the resultant velocity at $t = \frac{T}{2}$ is equal to the horizontal component $u_x$,which remains constant throughout the motion.Thus,$v = u_x = 80\sqrt{3} \; ms^{-1}$.

$A$ projectile is fired at $30^{\circ}$ to the horizontal. The vertical component of its velocity is $80 \; ms^{-1}$. Its time of flight is $T$. What will be the velocity of the projectile at $t = \frac{T}{2}$?

Similar Questions

$A$ ball is thrown at an angle $\theta$ and another ball is thrown at an angle $(90^\circ - \theta)$ with the horizontal from the same point with the same speed $40\,m/s$. The second ball reaches $50\,m$ higher than the first ball. Find their individual heights.

$A$ body is thrown horizontally from the top of a tower of height $5 \, m$. It touches the ground at a distance of $10 \, m$ from the foot of the tower. The initial velocity of the body is ......... $m/s$ $(g = 10 \, m/s^2)$.

$A$ shell fired from the base of a mountain just clears it. If $\alpha$ is the angle of projection,then the angular elevation of the summit $\beta$ is

$A$ body is projected horizontally from a tower with a velocity of $18 \, ms^{-1}$. It strikes the ground at an angle of $45^o$. The vertical component of the velocity when it strikes the ground is ........ $ms^{-1}$.

The horizontal range is four times the maximum height attained by a projectile. The angle of projection is .......... $^o$

Vedclass Test Series

Exam Paper Generator

Online Exam Module