Question

Can someone help me?!!!!!

Answer 1

Parabola

Step-by-step explanation:

The motion of a projectile consists of two independent motions:

- A uniform motion along the horizontal (x) direction, with constant velocity
`v_x`. In fact, there are no forces acting along this direction (if we neglect air resistance), so the acceleration is zero and the velocity is constant

- An uniformly accelerated motion along the vertical (y) direction, with constant acceleration
`g=9.8 m/s^2` downward (acceleration due to gravity). This acceleration is due to the force of gravity that pulls the projectile downward.

The composition of these two motions gives a parabolic trajectory. In fact, the equations of the motion along the two directions are:

`x(t) = v_x t` (1)

`y(t) = h + v_y t - (1)/(2)gt^2` (2)

Solving for t in eq.(1),

`t=(x)/(v_x)`

and substituting into (2)

`y(t) = h + (v_y)/(v_x)x - (1)/(2)g((x)/(v_x))^2`

which is the equation of a parabola.