Projectile Motion - Practice Questions & MCQ

• Projectile Motion- Two dimesional motion under action of uniform force is called is called projectile motion.

                E.g-  A javelin thrown by an athlete 

1. Projectile Projected at an angle

• Initial Velocity-  u

           Horizontal component = 

           Vertical component = 

• Final velocity = V

           Horizontal component = 

           Vertical component = 

So,

                        

• Displacement = S

Horizontal component = 

Vertical component = 

and,      

•  Acceleration = a

Horizontal component = 0

Vertical component = -g

So, a = -g

 

Parameters in Projectile motion - 

1. Maximum Height - 

 

• Maximum vertical distance attained by a projectile during its journey.

• Formula-

• When the velocity of projectile increases n time then Maximum height is increased by a factor of 

• Special Case-

                                If U is doubled, H becomes four times provided & g are constant.

 

     2)  Time of Flight

• Time for which projectile remains in the air above the horizontal plane.

• Formula-

1.  

2. Time of ascent =

                             

 

3. Time of descent =

                                

• When the velocity of projectile increased n time then Time of ascent becomes n times

• When the velocity of projectile increased n time then Time of descent becomes n times

• When the velocity of the projectile increased n time then the time of flight becomes n times.

 

3. Horizontal Range

• Horizontal distance travelled by projectile from the point of the projectile to the point on the ground where its hits.

• Formula-

                         

• Special case of horizontal range

1. For max horizontal range.

                   

           

 

2. Range remains the same whether the projectile is thrown at an angle with the horizontal or at an angle with vertical (90-) with horizontal 

3. When the velocity of projectile increases n time then the horizontal range is increased by a factor of 

4. When the horizontal range is n times the maximum height then 

                                                                                   

• Equation of trajectory-
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