Question

Which one is the largest when the height attained by the projectile is the greatest?

• A. range
• B. time of flight
• C. angle of projectile with the vertical
• D. None of these

Answer 1

Answer: (B)

time of flight

Maximum height attained by the projectile is largest when, $\theta ={90}^{\circ }$
Wkt that $R=\frac{v^2\sin 2\theta }{g}$ and here $\theta ={90}^{\circ }$
$\therefore \sin 2\theta =0andR=0$
Now, $T=timeofflight$ $=\frac{2v\sin \theta }{g}$ and here $\theta ={90}^{\circ }$ so $\sin {90}^{\circ }=1$
So, Time of flight will be maximum.