Question

Heya Mates ,

Define projectile motion ,angle of a projectile ,Range of the projectile and Time of the flight of projectile .

Answer 1

Answer

⚫Projectile motion

◾The motion of a particle thrown into the space at an angle and whose motion guided by the action of earth's gravity is called as projectile motion.

⚫Range of a projectile

◾The horizontal distance covered by the projectile from the point of projection to the point of destination is called as the range of projectile.

⚫Angle of a projectile

◾The angle between the direction of projection of a body and horizontal is called as angle of projectile.

⚫Time of flight of a projectile.

◾The time interval during which the projectile remains in space between the points of projection and destination is known as Time of flight.

Answer 2

$\huge\textbf{Answer}$



» Projectile


It is a name given to a body thrown with some initial velocity with a horizontal direction and then allowed to move in a two dimensions under the action of gravity alone without being propelled by an external agent.



» Projectile given horizontal projection



1) Path of projectile along x - axis

x = ut

t = x/u ...(1)

• Along y - axis

y = ½ g x²/u²

y = kx² (from 1)

This equation is perabola. Thus path is perabolic.


2) Time of flight

T = √2h/g


3) Horizontal Range

R = u√2h/g


4) Velocity of object at any instant

$v_{x}$ = u

$v_{y}$ = gt

v = √$v_{x}^{2}\:+\:v_{y}^{2}$

v = √u² + g²t²

• direction

$\beta$ = tan-1 ($v_{x}$/$v_{y}$)

$\beta$ = tan-1 (gt/u)



» Oblique projection



1) Path of projectile

• Motion along x - axis

x = (u cosØ) t

t = x/u cosØ ....(1)

• Motion along y - axis

y = (u sinØ) t - ½ gt²

y = u tanØ × ½ g (x²/u² cos²Ø) (from 1)

y = x tanØ - kx²

This equation is perabola and path is perabolic.


2) Time to flight

T = 2u sinØ/g


3) Maximum vertical height

H = u² sin²Ø/2g


4) Horizontal Range

R = u²/g (sin 2Ø)


5) Velocity at any instant

$v_{x}$ = u cosø

$v_{y}$ = $u_{y}\:+\:g_{y}t$

v = √$v_{x}^{2}\:+\:v_{y}^{2}$

v = √u² + g²t² - 2u sinØ gt

• direction

tan $\beta$ = u sinØ - gt/u cosØ