Two projectiles A and B are thrown with the s | vedclass

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

Question

(D) Let the speed of projection be $u$. For projectile $A$,the angle with the horizontal is $	heta_A = 	heta$. For projectile $B$,the angle with the

Vedclass · Accepted Answer

Both may have the same time of flight.

Vedclass · Answer

(D) Let the speed of projection be $u$. For projectile $A$,the angle with the horizontal is $	heta_A = 	heta$. For projectile $B$,the angle with the vertical is $	heta$,so the angle with the horizontal is $	heta_B = 90^{\circ} - 	heta$.Since $	heta_B$ is the complement of $	heta_A$,these are complementary angles.For complementary angles,the horizontal range is the same $(R_A = R_B)$.However,the time of flight $T = \frac{2u \sin 	heta}{g}$ and maximum height $H = \frac{u^2 \sin^2 	heta}{2g}$ depend on the specific angle $	heta$.If $	heta = 45^{\circ}$,then $	heta_A = 	heta_B = 45^{\circ}$,and all parameters (time of flight,maximum height,and range) will be identical.If $	heta 
eq 45^{\circ}$,the time of flight and maximum height will be different for $A$ and $B$.Therefore,the statement that they 'may' have the same time of flight is correct,as it holds true for the case $	heta = 45^{\circ}$.

Two projectiles $A$ and $B$ are thrown with the same speed such that $A$ makes an angle $\theta$ with the horizontal and $B$ makes an angle $\theta$ with the vertical. Then:

Similar Questions

$A$ projectile can have the same range $R$ for two angles of projection. If $t_1$ and $t_2$ are the times of flight in the two cases,then the product of the two times of flight is proportional to

Two particles $A$ and $B$ are projected simultaneously in the directions shown in the figure with velocities $V_A = 20 \ ms^{-1}$ and $V_B = 10 \ ms^{-1}$ respectively. They collide in the air after $0.5 \ s$. Find $(a)$ the angle $\theta$ and $(b)$ the distance $x$.

$A$ boy is moving with a constant speed $v$ on a small trolley towards a distant circle as shown in the figure. $A$ point mass is moving on the circle with a constant speed $v$. What is the frequency of change in the magnitude of the relative velocity of the point mass,as observed by the boy?

$A$ particle is moving with a constant speed of $\sqrt{2} \, m/s$ on a circular path of radius $10 \, cm$. Find the magnitude of the average velocity when it has covered $\frac{3}{4}$ of the circular path.

If two bodies $A$ and $B$ are projected with the same velocity $u$ but with different angles $\theta_1$ and $\theta_2$ respectively with the horizontal such that both have the same range,then the ratio of the times of flight of the bodies $A$ and $B$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module