Quiz Projectile Motion

  Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball.  T₁ and T₂  are the total flying times of first and second ball, respectively, then the ratio of  T₁ and T₂  is….

• 2 : 1

• √2 : 1

• 2√2 : 1

• 4 : 1

2. 2. The angle of projection for a projectile to have same horizontal range and maximum height is :

• tan^-1 (1/2)

• tan^-1 (2)

• tan^-1 (1/4)

• tan^-1 (4)

3.     A projectile is projected at 30⁰  from horizontal with initial velocity  40 m/s. The velocity of the projectile at  t = 2 s from the start will be : (Given g = 10 m/s² )

• 20√3 m/s

• 0

• 20 m/s

• 40√3 m/s

4.     Two projectiles are thrown with same initial velocity making an angle of  45⁰ and 30⁰ with the horizontal respectively. The ratio of their respective ranges will be :

• 1 : √2

• √2 : 1

• 2 : √3

• √3 : 2

5.     A projectile fired at  30⁰ to the ground is observed to be at same height at time   3 s and  5 s after projection, during its flight. The initial speed of projection of the projectile is

• 50 m/s

• 60 m/s

• 70 m/s

• 80 m/s

6.     The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

• 60⁰

• 15⁰

• 30⁰

• 15⁰

7.     A boy throws four stones of same shape, size and weight with equal speed at different initial angles with the horizontal line. If the angles are 15°, 30°, 45° and 60°, at which angle the stone will cover the maximum horizontally?

• 30⁰

• 45⁰

• 60⁰

• 15⁰

8.     A projectile is launched at point O and follows the path OPQRS, as shown. Air resistance may be neglected. Which statement is true for the projectile when it is at the highest point Q of its path?

• The horizontal component of the projectile is zero.

• The vertical component of the projectile's velocity is zero

• The accelaration of the projectile is zero.

• The velocities of the projectile is zero.

What is the initial horizontal velocity of the ball?

• D/√2h/g

• 2Dh/g

• g/Dh

• D√2h/g

10. A basketball is thrown upwards at a 60 degree angle with the horizontal. If the velocity of the ball is 5 m/s how fast must the thrower run to catch the ball after it is released?

• 2,5 m/s

• 4,3 m/s

• 5 m/s

• 10 m/s