Question

Calculate or derive the formula for average acceleration of a projectile on an inclined plane .
Given : inclination of plane is ¢ and angle of projection $ , the initial velocity of projection is u .​

Answer 1

Answer:

Given : u=10 m/s

Initial velocity along x direction u

x

=ucos30

o

m/s

Initial velocity along y direction u

y

=usin30

o

m/s

Also acceleration x and y direction a

x

=−gsin30

o

m/s

2

and a

y

=−gcos30

o

m/s

2

x direction : V

x

=u

x

+a

x

t

time t=

10cos30

2×10sin30

, hence t=

3

2

s

∴ V

x

=ucos30

o

−(gsin30

o

)t

OR V

x

=10×

2

3

−10×0.5×

3

2

=

3

15−10

=

3

5

m/s

Also V

y

=−5 m/s (solved earlier)

∴ Speed of the particle at collision V=

V

x

2

+V

y

2

=

(

3

5

)

2

+(−5)

2

⟹ V=

3

100

=

3

10

m/s