If the range of a gun which fires a shell with muzzle speed V is R, then the angle of elevation of the gun is

(1) ${\mathrm{cos}}^{-1}\left(\frac{{V}^{2}}{Rg}\right)$

(2) ${\mathrm{cos}}^{-1}\left(\frac{gR}{{V}^{2}}\right)$

(3) $\frac{1}{2}\left(\frac{{V}^{2}}{Rg}\right)$

(4) $\frac{1}{2}{\mathrm{sin}}^{-1}\left(\frac{gR}{{V}^{2}}\right)$

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If a body A of mass M is thrown with velocity V at an angle of 30° to the horizontal and another body B of the same mass is thrown with the same speed at an angle of 60° to the horizontal. The ratio of horizontal range of A to B will be

(1) 1 : 3

(2) 1 : 1

(3) $1:\sqrt{3}$

(4) $\sqrt{3}:1$

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Four bodies P, Q, R and S are projected with equal velocities having angles of projection 15o, 30o, 45o and 60o with the horizontal respectively. The body having shortest range is

(1) P

(2) Q

(3) R

(4) S

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H1. When it is projected with velocity u at an angle $\left(\frac{\pi }{2}-\theta \right)$with the horizontal, it reaches maximum height H2. The relation between the horizontal range R of the projectile, H1 and H2 is

(1) $R=4\sqrt{{H}_{1}{H}_{2}}$

(2) R = 4(H1H2)

(3) R = 4(H1 + H2)

(4) $R=\frac{{{H}_{1}}^{2}}{{{H}_{2}}^{2}}$

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long–jump event

(1) Speed before he jumps and his weight

(2) The direction in which he leaps and the initial speed

(3) The force with which he pushes the ground and his speed

(4) None of these

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

In a projectile motion, velocity at maximum height is

(1) $\frac{u\text{\hspace{0.17em}}\mathrm{cos}\text{\hspace{0.17em}}\theta }{2}$

(2) $u\text{\hspace{0.17em}}\mathrm{cos}\text{\hspace{0.17em}}\theta$

(3) $\frac{u\text{\hspace{0.17em}}\mathrm{sin}\text{\hspace{0.17em}}\theta }{2}$

(4) None of these

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The equation of motion of a projectile are given by x = 36 t metre and 2y = 96 t – 9.8 t2 metre. The angle of projection is

(1) ${\mathrm{sin}}^{-1}\left(\frac{4}{5}\right)$

(2) ${\mathrm{sin}}^{-1}\left(\frac{3}{5}\right)$

(3) ${\mathrm{sin}}^{-1}\left(\frac{4}{3}\right)$

(4) ${\mathrm{sin}}^{-1}\left(\frac{3}{4}\right)$

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

For a given velocity, a projectile has the same range R for two angles of projection. If t1 and t2 are the times of flight in the two cases then :

(1) ${t}_{1}{t}_{2}\propto \text{\hspace{0.17em}}{R}^{2}$

(2) ${t}_{1}{t}_{2}\propto \text{\hspace{0.17em}}R$

(3) ${t}_{1}{t}_{2}\propto \text{\hspace{0.17em}}\frac{1}{R}$

(4) ${t}_{1}{t}_{2}\propto \text{\hspace{0.17em}}\frac{1}{{R}^{2}}$

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body of mass m is thrown upwards at an angle θ with the horizontal with velocity v. While rising up the velocity of the mass after t seconds will be

(1) $\sqrt{{\left(v\text{\hspace{0.17em}}\mathrm{cos}\text{\hspace{0.17em}}\theta \right)}^{2}+{\left(v\text{\hspace{0.17em}}\mathrm{sin}\text{\hspace{0.17em}}\theta \right)}^{2}}$

(2) $\sqrt{{\left(v\text{\hspace{0.17em}}\mathrm{cos}\text{\hspace{0.17em}}\theta -v\mathrm{sin}\text{\hspace{0.17em}}\theta \right)}^{2}-\text{\hspace{0.17em}}gt}$

(3) $\sqrt{{v}^{2}+{g}^{2}{t}^{2}-\left(2\text{\hspace{0.17em}}v\text{\hspace{0.17em}}\mathrm{sin}\text{\hspace{0.17em}}\theta \right)\text{\hspace{0.17em}}gt}$

(4) $\sqrt{{v}^{2}+{g}^{2}{t}^{2}-\left(2\text{\hspace{0.17em}}v\text{\hspace{0.17em}}\mathrm{cos}\text{\hspace{0.17em}}\theta \right)\text{\hspace{0.17em}}gt}$

Concept Questions :-

Projectile motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is

(1) 100 m

(2) 80 m

(3) 60 m

(4) 50 m

Concept Questions :-

Projectile motion