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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A ball is projected with velocity V0 at an angle of elevation 30°. Mark the correct statement

(1) Kinetic energy will be zero at the highest point of the trajectory

(2) Vertical component of momentum will be conserved

(3) Horizontal component of momentum will be conserved

(4) Gravitational potential energy will be minimum at the highest point of the trajectory

Concept Questions :-

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

Difficulty Level:

Neglecting the air resistance, the time of flight of a projectile is determined by

(1) Uvertical

(2) Uhorizontal

(3) U = U2vertical + U2horizontal

(4) U = U(U2vertical + U2horizontal )1/2

Concept Questions :-

Projectile motion