Edexcel Mechanics 2 Kinematics of a particle ... - Justus Learning

Edexcel Mechanics 2 Kinematics of a particle Section 1: Projectiles Introductory questions In this exercise take upwards as positive and use

for g

1. In each case (i)

Draw a diagram showing the initial velocity with its horizontal and vertical components

(ii)

Write the velocity after time seconds in vector form

(iii)

Write the position after time seconds in vector form a.

Initial position (

)

; Initial velocity

horizontally

b.

Initial position ( the horizontal

)

; Initial velocity

at an angle of

c.

Initial position (

)

above

; Initial velocity ( )

2. In each case find (i)

The time for the projectile to reach its highest point

(ii)

The maximum height above the origin a.

Initial position ( the horizontal

b.

Initial position (

)

)

; Initial velocity

an angle of

above

; Initial velocity ( )

3. Find the horizontal range for these projectiles which start from the origin a.

Initial velocity ( )

b.

Initial velocity ( )

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Edexcel M2 Kinematics 1 Introductory questions Solutions to Introductory questions 1. a.

(i)

(ii)

(iii)

( )

(

(

)

From starting point Using

for the position of the projectile

( )

( )

(

b.

)

(

)

)

(i)

(ii) ( √ )

(

√

)

( (iii)

)

since it starts at (

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),

gives the position

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Edexcel M2 Kinematics 1 Introductory questions ( √ )

(

√

)

( c.

)

(i)

(ii) ( )

(

( (iii)

) )

From starting point Using ( (

for the position of the projectile )

( )

(

)

)

2. In each case find a.

(i)

Looking at vertical motion

(3 s.f.)

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Edexcel M2 Kinematics 1 Introductory questions (ii) ( (

) )

(3 s.f.)

Max height b.

(i)

(3 s.f.)

Looking at vertical motion

(3 s.f.) (ii)

(3 s.f.) Max height

(3 s.f.)

3. Find the horizontal range for these projectiles which start from the origin a.

Calculate the time of flight first using vertical motion

(

) initially or

(3 s.f.)

Looking at horizontal motion

(3 s.f.)

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Edexcel M2 Kinematics 1 Introductory questions b.

Calculate the time of flight first using vertical motion

(

) initially or

(3 s.f.)

Looking at horizontal motion

(3 s.f.)

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