Projectile motion

A ball is projected with velocity 10 m/sec at angle of  $30^o$ with the horizontal surface. The speed of the ball after 1 second will be (Use g= $\frac{10m}{s^2}$  )

• 5m/s

• 20m/s

• 8m/s

• 10m/s

A ball is projected with velocity 10 m/sec at angle of  $30^o$   with the horizontal surface. The range of the projectile is

• 10m

•  $10\sqrt{3}$  m

•  $20\sqrt{3}$  m

•  $40\sqrt{3}$  m

A stone is projected horizontally with a velocity 9.8m/s from a tower of height 100m. Its speed 1 s after projection is

• 9.8m/s

• 4.9m/s

• $9.8\sqrt{2}$ m/s

• $4.9\sqrt{2}$ m/s

An aeroplane flying horizontally at an altitude of 490m with a speed of 180km/h drops a bomb. The horizontal distance at which it hits the ground is(g= $\frac{9.8m}{s^{2\ }}$  )

• 500m

• 1000m

• 250m

• none of the above 

Two particles are projected with same velocity but at angles of projection ( $45-\theta$  ) and ( $45+\theta$  ). Then their horizontal ranges are in the ratio of

• 1:2

• 2:1

• 1:1

•  $\frac{90}{2}\theta$  

The motion of a projectile is described by the equation  $y=ax-bx^2$  . The range of projectile is

•  $\frac{a^2}{b^2}$  

•  $\frac{a}{2b}$  

•  $\frac{a}{b}$  

• none of the above
  
  

For a projectile fired with a certain velocity, the Maximum possible Range and the Maximum height attainable are related as

• 
  

  $R_{\max}=2H_{\max}$
  

• $R_{\max}=\frac{H_{\max}}{2}$

• $R_{\max}=3H_{\max}$

• none of the above

A ball projected at an angle  $\theta$  , attains a maximum height  $H_1$   and if the ball is projected at angle of ( $90-\theta$  ) and the maximum height attained by the ball is  $H_2$  . Then the range of projectile will be

•  $R=\sqrt{H_1H_2}$  

•  $R=\sqrt{\frac{H_1H_2}{2}}$  

•  $R=3\sqrt{H_1H_2}$  

• none of the above 

A ball is projected with velocity 10 m/s at angle  $30^o$   of with the horizontal surface. The maximum height attained by the projectile is

• 5m

• 10m

• 15m

• 20m
  

A ball is projected with velocity 10 m/sec at angle of  $30^o$   with the horizontal surface. The time taken by ball to reach the ground is

• 1s

• 2s

• 3s

• 4s